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Finding the Fourth Proportional to 1,006.17, 1,508.91 and 356.77

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Solution

The fourth proportional to 1,006.17, 1,508.91 and 356.77 is: 535.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006.17 : 1,508.91 = 356.77 : x
  2. Step 2: Convert to fraction form
    1,006.17/1,508.91 = 356.77/x
  3. Step 3: Cross multiply
    1,006.17x = 1,508.91 × 356.77
  4. Step 4: Simplify right side
    1,006.17x = 538,333.82
  5. Step 5: Solve for x
    x = 538,333.82/1,006.17
  6. Step 6: Final answer
    x = 535.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.