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Finding the Fourth Proportional to 864.42, 1,192.86 and 491.40

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Solution

The fourth proportional to 864.42, 1,192.86 and 491.40 is: 678.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.42 : 1,192.86 = 491.40 : x
  2. Step 2: Convert to fraction form
    864.42/1,192.86 = 491.40/x
  3. Step 3: Cross multiply
    864.42x = 1,192.86 × 491.40
  4. Step 4: Simplify right side
    864.42x = 586,171.40
  5. Step 5: Solve for x
    x = 586,171.40/864.42
  6. Step 6: Final answer
    x = 678.11

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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.