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Finding the Fourth Proportional to 945.42, 1,417.02 and 457.38

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Solution

The fourth proportional to 945.42, 1,417.02 and 457.38 is: 685.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.42 : 1,417.02 = 457.38 : x
  2. Step 2: Convert to fraction form
    945.42/1,417.02 = 457.38/x
  3. Step 3: Cross multiply
    945.42x = 1,417.02 × 457.38
  4. Step 4: Simplify right side
    945.42x = 648,116.61
  5. Step 5: Solve for x
    x = 648,116.61/945.42
  6. Step 6: Final answer
    x = 685.53

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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.