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Finding the Fourth Proportional to 1,134.64, 1,701.34 and 354.30

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Solution

The fourth proportional to 1,134.64, 1,701.34 and 354.30 is: 531.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,134.64 : 1,701.34 = 354.30 : x
  2. Step 2: Convert to fraction form
    1,134.64/1,701.34 = 354.30/x
  3. Step 3: Cross multiply
    1,134.64x = 1,701.34 × 354.30
  4. Step 4: Simplify right side
    1,134.64x = 602,784.76
  5. Step 5: Solve for x
    x = 602,784.76/1,134.64
  6. Step 6: Final answer
    x = 531.26

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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.