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Finding the Fourth Proportional to 846.24, 1,167.86 and 497.16

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Solution

The fourth proportional to 846.24, 1,167.86 and 497.16 is: 686.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.24 : 1,167.86 = 497.16 : x
  2. Step 2: Convert to fraction form
    846.24/1,167.86 = 497.16/x
  3. Step 3: Cross multiply
    846.24x = 1,167.86 × 497.16
  4. Step 4: Simplify right side
    846.24x = 580,613.28
  5. Step 5: Solve for x
    x = 580,613.28/846.24
  6. Step 6: Final answer
    x = 686.11

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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.