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Finding the Fourth Proportional to 1,354.61, 1,869.48 and 765.13

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Solution

The fourth proportional to 1,354.61, 1,869.48 and 765.13 is: 1,055.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,354.61 : 1,869.48 = 765.13 : x
  2. Step 2: Convert to fraction form
    1,354.61/1,869.48 = 765.13/x
  3. Step 3: Cross multiply
    1,354.61x = 1,869.48 × 765.13
  4. Step 4: Simplify right side
    1,354.61x = 1,430,394.06
  5. Step 5: Solve for x
    x = 1,430,394.06/1,354.61
  6. Step 6: Final answer
    x = 1,055.95

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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.