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Finding the Fourth Proportional to 1,056.12, 1,585.17 and 747.09

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Solution

The fourth proportional to 1,056.12, 1,585.17 and 747.09 is: 1,121.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.12 : 1,585.17 = 747.09 : x
  2. Step 2: Convert to fraction form
    1,056.12/1,585.17 = 747.09/x
  3. Step 3: Cross multiply
    1,056.12x = 1,585.17 × 747.09
  4. Step 4: Simplify right side
    1,056.12x = 1,184,264.66
  5. Step 5: Solve for x
    x = 1,184,264.66/1,056.12
  6. Step 6: Final answer
    x = 1,121.34

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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.