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Finding the Fourth Proportional to 945.53, 1,417.38 and 458.31

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Solution

The fourth proportional to 945.53, 1,417.38 and 458.31 is: 687.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.53 : 1,417.38 = 458.31 : x
  2. Step 2: Convert to fraction form
    945.53/1,417.38 = 458.31/x
  3. Step 3: Cross multiply
    945.53x = 1,417.38 × 458.31
  4. Step 4: Simplify right side
    945.53x = 649,605.60
  5. Step 5: Solve for x
    x = 649,605.60/945.53
  6. Step 6: Final answer
    x = 687.03

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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.