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Finding the Fourth Proportional to 944.60, 1,417.03 and 457.31

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Solution

The fourth proportional to 944.60, 1,417.03 and 457.31 is: 686.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.60 : 1,417.03 = 457.31 : x
  2. Step 2: Convert to fraction form
    944.60/1,417.03 = 457.31/x
  3. Step 3: Cross multiply
    944.60x = 1,417.03 × 457.31
  4. Step 4: Simplify right side
    944.60x = 648,024.39
  5. Step 5: Solve for x
    x = 648,024.39/944.60
  6. Step 6: Final answer
    x = 686.03

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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.