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Finding the Fourth Proportional to 1,005.92, 1,509.08 and 356.56

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Solution

The fourth proportional to 1,005.92, 1,509.08 and 356.56 is: 534.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005.92 : 1,509.08 = 356.56 : x
  2. Step 2: Convert to fraction form
    1,005.92/1,509.08 = 356.56/x
  3. Step 3: Cross multiply
    1,005.92x = 1,509.08 × 356.56
  4. Step 4: Simplify right side
    1,005.92x = 538,077.56
  5. Step 5: Solve for x
    x = 538,077.56/1,005.92
  6. Step 6: Final answer
    x = 534.91

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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.