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Finding the Fourth Proportional to 1,006.73, 1,509.33 and 616.31

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Solution

The fourth proportional to 1,006.73, 1,509.33 and 616.31 is: 924.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006.73 : 1,509.33 = 616.31 : x
  2. Step 2: Convert to fraction form
    1,006.73/1,509.33 = 616.31/x
  3. Step 3: Cross multiply
    1,006.73x = 1,509.33 × 616.31
  4. Step 4: Simplify right side
    1,006.73x = 930,215.60
  5. Step 5: Solve for x
    x = 930,215.60/1,006.73
  6. Step 6: Final answer
    x = 924.00

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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.