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Finding the Fourth Proportional to 1,132.09, 1,562.58 and 778.07

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Solution

The fourth proportional to 1,132.09, 1,562.58 and 778.07 is: 1,073.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,132.09 : 1,562.58 = 778.07 : x
  2. Step 2: Convert to fraction form
    1,132.09/1,562.58 = 778.07/x
  3. Step 3: Cross multiply
    1,132.09x = 1,562.58 × 778.07
  4. Step 4: Simplify right side
    1,132.09x = 1,215,796.62
  5. Step 5: Solve for x
    x = 1,215,796.62/1,132.09
  6. Step 6: Final answer
    x = 1,073.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.