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Finding the Fourth Proportional to 1,209.34, 1,812.59 and 558.71

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Solution

The fourth proportional to 1,209.34, 1,812.59 and 558.71 is: 837.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,209.34 : 1,812.59 = 558.71 : x
  2. Step 2: Convert to fraction form
    1,209.34/1,812.59 = 558.71/x
  3. Step 3: Cross multiply
    1,209.34x = 1,812.59 × 558.71
  4. Step 4: Simplify right side
    1,209.34x = 1,012,702.40
  5. Step 5: Solve for x
    x = 1,012,702.40/1,209.34
  6. Step 6: Final answer
    x = 837.40

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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.