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Finding the Fourth Proportional to 1,607.62, 2,411.28 and 567.57

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Solution

The fourth proportional to 1,607.62, 2,411.28 and 567.57 is: 851.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,607.62 : 2,411.28 = 567.57 : x
  2. Step 2: Convert to fraction form
    1,607.62/2,411.28 = 567.57/x
  3. Step 3: Cross multiply
    1,607.62x = 2,411.28 × 567.57
  4. Step 4: Simplify right side
    1,607.62x = 1,368,555.30
  5. Step 5: Solve for x
    x = 1,368,555.30/1,607.62
  6. Step 6: Final answer
    x = 851.30

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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.