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Finding the Fourth Proportional to 732, 1,010.16 and 456.16

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Solution

The fourth proportional to 732, 1,010.16 and 456.16 is: 629.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    732 : 1,010.16 = 456.16 : x
  2. Step 2: Convert to fraction form
    732/1,010.16 = 456.16/x
  3. Step 3: Cross multiply
    732x = 1,010.16 × 456.16
  4. Step 4: Simplify right side
    732x = 460,794.59
  5. Step 5: Solve for x
    x = 460,794.59/732
  6. Step 6: Final answer
    x = 629.50

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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.