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Finding the Fourth Proportional to 1,046.68, 1,444.78 and 627.16

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Solution

The fourth proportional to 1,046.68, 1,444.78 and 627.16 is: 865.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046.68 : 1,444.78 = 627.16 : x
  2. Step 2: Convert to fraction form
    1,046.68/1,444.78 = 627.16/x
  3. Step 3: Cross multiply
    1,046.68x = 1,444.78 × 627.16
  4. Step 4: Simplify right side
    1,046.68x = 906,108.22
  5. Step 5: Solve for x
    x = 906,108.22/1,046.68
  6. Step 6: Final answer
    x = 865.70

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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.