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Finding the Fourth Proportional to 1,005.77, 1,508.84 and 356.96

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Solution

The fourth proportional to 1,005.77, 1,508.84 and 356.96 is: 535.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005.77 : 1,508.84 = 356.96 : x
  2. Step 2: Convert to fraction form
    1,005.77/1,508.84 = 356.96/x
  3. Step 3: Cross multiply
    1,005.77x = 1,508.84 × 356.96
  4. Step 4: Simplify right side
    1,005.77x = 538,595.53
  5. Step 5: Solve for x
    x = 538,595.53/1,005.77
  6. Step 6: Final answer
    x = 535.51

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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.