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Finding the Fourth Proportional to 1,122.64, 1,684.16 and 342.71

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Solution

The fourth proportional to 1,122.64, 1,684.16 and 342.71 is: 514.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,122.64 : 1,684.16 = 342.71 : x
  2. Step 2: Convert to fraction form
    1,122.64/1,684.16 = 342.71/x
  3. Step 3: Cross multiply
    1,122.64x = 1,684.16 × 342.71
  4. Step 4: Simplify right side
    1,122.64x = 577,178.47
  5. Step 5: Solve for x
    x = 577,178.47/1,122.64
  6. Step 6: Final answer
    x = 514.13

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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.