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Finding the Fourth Proportional to 1,217, 1,678.48 and 774.76

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Solution

The fourth proportional to 1,217, 1,678.48 and 774.76 is: 1,068.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,217 : 1,678.48 = 774.76 : x
  2. Step 2: Convert to fraction form
    1,217/1,678.48 = 774.76/x
  3. Step 3: Cross multiply
    1,217x = 1,678.48 × 774.76
  4. Step 4: Simplify right side
    1,217x = 1,300,419.16
  5. Step 5: Solve for x
    x = 1,300,419.16/1,217
  6. Step 6: Final answer
    x = 1,068.54

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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.