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Finding the Fourth Proportional to 1,189.40, 1,641.11 and 747.14

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Solution

The fourth proportional to 1,189.40, 1,641.11 and 747.14 is: 1,030.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,189.40 : 1,641.11 = 747.14 : x
  2. Step 2: Convert to fraction form
    1,189.40/1,641.11 = 747.14/x
  3. Step 3: Cross multiply
    1,189.40x = 1,641.11 × 747.14
  4. Step 4: Simplify right side
    1,189.40x = 1,226,137.06
  5. Step 5: Solve for x
    x = 1,226,137.06/1,189.40
  6. Step 6: Final answer
    x = 1,030.89

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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.