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Finding the Fourth Proportional to 1,366.17, 2,048.28 and 750.16

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Solution

The fourth proportional to 1,366.17, 2,048.28 and 750.16 is: 1,124.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,366.17 : 2,048.28 = 750.16 : x
  2. Step 2: Convert to fraction form
    1,366.17/2,048.28 = 750.16/x
  3. Step 3: Cross multiply
    1,366.17x = 2,048.28 × 750.16
  4. Step 4: Simplify right side
    1,366.17x = 1,536,537.72
  5. Step 5: Solve for x
    x = 1,536,537.72/1,366.17
  6. Step 6: Final answer
    x = 1,124.70

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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.