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Finding the Fourth Proportional to 1,569.71, 2,354.57 and 415.46

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Solution

The fourth proportional to 1,569.71, 2,354.57 and 415.46 is: 623.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569.71 : 2,354.57 = 415.46 : x
  2. Step 2: Convert to fraction form
    1,569.71/2,354.57 = 415.46/x
  3. Step 3: Cross multiply
    1,569.71x = 2,354.57 × 415.46
  4. Step 4: Simplify right side
    1,569.71x = 978,235.02
  5. Step 5: Solve for x
    x = 978,235.02/1,569.71
  6. Step 6: Final answer
    x = 623.19

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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.