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Finding the Fourth Proportional to 945.53, 1,417.29 and 457.91

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Solution

The fourth proportional to 945.53, 1,417.29 and 457.91 is: 686.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.53 : 1,417.29 = 457.91 : x
  2. Step 2: Convert to fraction form
    945.53/1,417.29 = 457.91/x
  3. Step 3: Cross multiply
    945.53x = 1,417.29 × 457.91
  4. Step 4: Simplify right side
    945.53x = 648,991.26
  5. Step 5: Solve for x
    x = 648,991.26/945.53
  6. Step 6: Final answer
    x = 686.38

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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.