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Finding the Fourth Proportional to 1,134.68, 1,701.72 and 404.15

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Solution

The fourth proportional to 1,134.68, 1,701.72 and 404.15 is: 606.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,134.68 : 1,701.72 = 404.15 : x
  2. Step 2: Convert to fraction form
    1,134.68/1,701.72 = 404.15/x
  3. Step 3: Cross multiply
    1,134.68x = 1,701.72 × 404.15
  4. Step 4: Simplify right side
    1,134.68x = 687,741.63
  5. Step 5: Solve for x
    x = 687,741.63/1,134.68
  6. Step 6: Final answer
    x = 606.11

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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.