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Finding the Fourth Proportional to 860.48, 1,288.99 and 397.63

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Solution

The fourth proportional to 860.48, 1,288.99 and 397.63 is: 595.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.48 : 1,288.99 = 397.63 : x
  2. Step 2: Convert to fraction form
    860.48/1,288.99 = 397.63/x
  3. Step 3: Cross multiply
    860.48x = 1,288.99 × 397.63
  4. Step 4: Simplify right side
    860.48x = 512,541.09
  5. Step 5: Solve for x
    x = 512,541.09/860.48
  6. Step 6: Final answer
    x = 595.65

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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 (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.