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Finding the Fourth Proportional to 751.57, 1,037.16 and 456.78

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Solution

The fourth proportional to 751.57, 1,037.16 and 456.78 is: 630.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    751.57 : 1,037.16 = 456.78 : x
  2. Step 2: Convert to fraction form
    751.57/1,037.16 = 456.78/x
  3. Step 3: Cross multiply
    751.57x = 1,037.16 × 456.78
  4. Step 4: Simplify right side
    751.57x = 473,746.48
  5. Step 5: Solve for x
    x = 473,746.48/751.57
  6. Step 6: Final answer
    x = 630.35

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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.