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Finding the Fourth Proportional to 749.12, 1,118.72 and 709.17

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Solution

The fourth proportional to 749.12, 1,118.72 and 709.17 is: 1,059.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.12 : 1,118.72 = 709.17 : x
  2. Step 2: Convert to fraction form
    749.12/1,118.72 = 709.17/x
  3. Step 3: Cross multiply
    749.12x = 1,118.72 × 709.17
  4. Step 4: Simplify right side
    749.12x = 793,360.24
  5. Step 5: Solve for x
    x = 793,360.24/749.12
  6. Step 6: Final answer
    x = 1,059.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.