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Finding the Fourth Proportional to 1,569.65, 2,354.81 and 474.12

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Solution

The fourth proportional to 1,569.65, 2,354.81 and 474.12 is: 711.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569.65 : 2,354.81 = 474.12 : x
  2. Step 2: Convert to fraction form
    1,569.65/2,354.81 = 474.12/x
  3. Step 3: Cross multiply
    1,569.65x = 2,354.81 × 474.12
  4. Step 4: Simplify right side
    1,569.65x = 1,116,460.15
  5. Step 5: Solve for x
    x = 1,116,460.15/1,569.65
  6. Step 6: Final answer
    x = 711.28

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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.