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Finding the Fourth Proportional to 1,006.57, 1,510.24 and 390.31

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Solution

The fourth proportional to 1,006.57, 1,510.24 and 390.31 is: 585.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006.57 : 1,510.24 = 390.31 : x
  2. Step 2: Convert to fraction form
    1,006.57/1,510.24 = 390.31/x
  3. Step 3: Cross multiply
    1,006.57x = 1,510.24 × 390.31
  4. Step 4: Simplify right side
    1,006.57x = 589,459.82
  5. Step 5: Solve for x
    x = 589,459.82/1,006.57
  6. Step 6: Final answer
    x = 585.61

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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.