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Finding the Fourth Proportional to 1,005.87, 1,506.75 and 614.64

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Solution

The fourth proportional to 1,005.87, 1,506.75 and 614.64 is: 920.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005.87 : 1,506.75 = 614.64 : x
  2. Step 2: Convert to fraction form
    1,005.87/1,506.75 = 614.64/x
  3. Step 3: Cross multiply
    1,005.87x = 1,506.75 × 614.64
  4. Step 4: Simplify right side
    1,005.87x = 926,108.82
  5. Step 5: Solve for x
    x = 926,108.82/1,005.87
  6. Step 6: Final answer
    x = 920.70

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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.