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Finding the Fourth Proportional to 1,006.41, 1,508.18 and 572.67

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Solution

The fourth proportional to 1,006.41, 1,508.18 and 572.67 is: 858.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006.41 : 1,508.18 = 572.67 : x
  2. Step 2: Convert to fraction form
    1,006.41/1,508.18 = 572.67/x
  3. Step 3: Cross multiply
    1,006.41x = 1,508.18 × 572.67
  4. Step 4: Simplify right side
    1,006.41x = 863,686.58
  5. Step 5: Solve for x
    x = 863,686.58/1,006.41
  6. Step 6: Final answer
    x = 858.19

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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.