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Finding the Fourth Proportional to 1,569.74, 2,354.62 and 474.14

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Solution

The fourth proportional to 1,569.74, 2,354.62 and 474.14 is: 711.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569.74 : 2,354.62 = 474.14 : x
  2. Step 2: Convert to fraction form
    1,569.74/2,354.62 = 474.14/x
  3. Step 3: Cross multiply
    1,569.74x = 2,354.62 × 474.14
  4. Step 4: Simplify right side
    1,569.74x = 1,116,424.23
  5. Step 5: Solve for x
    x = 1,116,424.23/1,569.74
  6. Step 6: Final answer
    x = 711.22

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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.