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Finding the Fourth Proportional to 1,006.83, 1,508.57 and 712.88

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Solution

The fourth proportional to 1,006.83, 1,508.57 and 712.88 is: 1,068.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006.83 : 1,508.57 = 712.88 : x
  2. Step 2: Convert to fraction form
    1,006.83/1,508.57 = 712.88/x
  3. Step 3: Cross multiply
    1,006.83x = 1,508.57 × 712.88
  4. Step 4: Simplify right side
    1,006.83x = 1,075,429.38
  5. Step 5: Solve for x
    x = 1,075,429.38/1,006.83
  6. Step 6: Final answer
    x = 1,068.13

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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.