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Finding the Fourth Proportional to 1,389.48, 1,917.06 and 974.76

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Solution

The fourth proportional to 1,389.48, 1,917.06 and 974.76 is: 1,344.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,389.48 : 1,917.06 = 974.76 : x
  2. Step 2: Convert to fraction form
    1,389.48/1,917.06 = 974.76/x
  3. Step 3: Cross multiply
    1,389.48x = 1,917.06 × 974.76
  4. Step 4: Simplify right side
    1,389.48x = 1,868,673.41
  5. Step 5: Solve for x
    x = 1,868,673.41/1,389.48
  6. Step 6: Final answer
    x = 1,344.87

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.