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Finding the Fourth Proportional to 846.52, 1,168.20 and 497.24

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Solution

The fourth proportional to 846.52, 1,168.20 and 497.24 is: 686.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.52 : 1,168.20 = 497.24 : x
  2. Step 2: Convert to fraction form
    846.52/1,168.20 = 497.24/x
  3. Step 3: Cross multiply
    846.52x = 1,168.20 × 497.24
  4. Step 4: Simplify right side
    846.52x = 580,875.77
  5. Step 5: Solve for x
    x = 580,875.77/846.52
  6. Step 6: Final answer
    x = 686.19

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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.