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Finding the Fourth Proportional to 1,134.10, 1,701.24 and 354.07

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Solution

The fourth proportional to 1,134.10, 1,701.24 and 354.07 is: 531.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,134.10 : 1,701.24 = 354.07 : x
  2. Step 2: Convert to fraction form
    1,134.10/1,701.24 = 354.07/x
  3. Step 3: Cross multiply
    1,134.10x = 1,701.24 × 354.07
  4. Step 4: Simplify right side
    1,134.10x = 602,358.05
  5. Step 5: Solve for x
    x = 602,358.05/1,134.10
  6. Step 6: Final answer
    x = 531.13

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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.