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Finding the Fourth Proportional to 1,366.32, 2,048.70 and 732.36

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Solution

The fourth proportional to 1,366.32, 2,048.70 and 732.36 is: 1,098.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,366.32 : 2,048.70 = 732.36 : x
  2. Step 2: Convert to fraction form
    1,366.32/2,048.70 = 732.36/x
  3. Step 3: Cross multiply
    1,366.32x = 2,048.70 × 732.36
  4. Step 4: Simplify right side
    1,366.32x = 1,500,385.93
  5. Step 5: Solve for x
    x = 1,500,385.93/1,366.32
  6. Step 6: Final answer
    x = 1,098.12

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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.