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Finding the Fourth Proportional to 1,306.55, 1,803.14 and 747.04

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Solution

The fourth proportional to 1,306.55, 1,803.14 and 747.04 is: 1,030.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306.55 : 1,803.14 = 747.04 : x
  2. Step 2: Convert to fraction form
    1,306.55/1,803.14 = 747.04/x
  3. Step 3: Cross multiply
    1,306.55x = 1,803.14 × 747.04
  4. Step 4: Simplify right side
    1,306.55x = 1,347,017.71
  5. Step 5: Solve for x
    x = 1,347,017.71/1,306.55
  6. Step 6: Final answer
    x = 1,030.97

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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.