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Finding the Fourth Proportional to 1,569.83, 2,355.10 and 474.21

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Solution

The fourth proportional to 1,569.83, 2,355.10 and 474.21 is: 711.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569.83 : 2,355.10 = 474.21 : x
  2. Step 2: Convert to fraction form
    1,569.83/2,355.10 = 474.21/x
  3. Step 3: Cross multiply
    1,569.83x = 2,355.10 × 474.21
  4. Step 4: Simplify right side
    1,569.83x = 1,116,810.79
  5. Step 5: Solve for x
    x = 1,116,810.79/1,569.83
  6. Step 6: Final answer
    x = 711.42

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