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Finding the Fourth Proportional to 1,425.68, 2,138.84 and 560

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Solution

The fourth proportional to 1,425.68, 2,138.84 and 560 is: 840.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,425.68 : 2,138.84 = 560 : x
  2. Step 2: Convert to fraction form
    1,425.68/2,138.84 = 560/x
  3. Step 3: Cross multiply
    1,425.68x = 2,138.84 × 560
  4. Step 4: Simplify right side
    1,425.68x = 1,197,750.40
  5. Step 5: Solve for x
    x = 1,197,750.40/1,425.68
  6. Step 6: Final answer
    x = 840.13

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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.