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Finding the Fourth Proportional to 1,569.32, 2,354.49 and 645.31

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Solution

The fourth proportional to 1,569.32, 2,354.49 and 645.31 is: 968.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569.32 : 2,354.49 = 645.31 : x
  2. Step 2: Convert to fraction form
    1,569.32/2,354.49 = 645.31/x
  3. Step 3: Cross multiply
    1,569.32x = 2,354.49 × 645.31
  4. Step 4: Simplify right side
    1,569.32x = 1,519,367.64
  5. Step 5: Solve for x
    x = 1,519,367.64/1,569.32
  6. Step 6: Final answer
    x = 968.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.