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Finding the Fourth Proportional to 1,567.66, 2,349.96 and 580.19

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Solution

The fourth proportional to 1,567.66, 2,349.96 and 580.19 is: 869.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,567.66 : 2,349.96 = 580.19 : x
  2. Step 2: Convert to fraction form
    1,567.66/2,349.96 = 580.19/x
  3. Step 3: Cross multiply
    1,567.66x = 2,349.96 × 580.19
  4. Step 4: Simplify right side
    1,567.66x = 1,363,423.29
  5. Step 5: Solve for x
    x = 1,363,423.29/1,567.66
  6. Step 6: Final answer
    x = 869.72

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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.