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Finding the Fourth Proportional to 832.48, 1,148.76 and 500.92

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Solution

The fourth proportional to 832.48, 1,148.76 and 500.92 is: 691.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.48 : 1,148.76 = 500.92 : x
  2. Step 2: Convert to fraction form
    832.48/1,148.76 = 500.92/x
  3. Step 3: Cross multiply
    832.48x = 1,148.76 × 500.92
  4. Step 4: Simplify right side
    832.48x = 575,436.86
  5. Step 5: Solve for x
    x = 575,436.86/832.48
  6. Step 6: Final answer
    x = 691.23

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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.