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Finding the Fourth Proportional to 1,354.79, 1,869.54 and 765.20

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Solution

The fourth proportional to 1,354.79, 1,869.54 and 765.20 is: 1,055.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,354.79 : 1,869.54 = 765.20 : x
  2. Step 2: Convert to fraction form
    1,354.79/1,869.54 = 765.20/x
  3. Step 3: Cross multiply
    1,354.79x = 1,869.54 × 765.20
  4. Step 4: Simplify right side
    1,354.79x = 1,430,562.66
  5. Step 5: Solve for x
    x = 1,430,562.66/1,354.79
  6. Step 6: Final answer
    x = 1,055.93

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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.