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Finding the Fourth Proportional to 1,354.61, 1,869.36 and 765.15

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Solution

The fourth proportional to 1,354.61, 1,869.36 and 765.15 is: 1,055.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,354.61 : 1,869.36 = 765.15 : x
  2. Step 2: Convert to fraction form
    1,354.61/1,869.36 = 765.15/x
  3. Step 3: Cross multiply
    1,354.61x = 1,869.36 × 765.15
  4. Step 4: Simplify right side
    1,354.61x = 1,430,330.92
  5. Step 5: Solve for x
    x = 1,430,330.92/1,354.61
  6. Step 6: Final answer
    x = 1,055.90

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