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Finding the Fourth Proportional to 733.64, 1,095.10 and 713.12

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Solution

The fourth proportional to 733.64, 1,095.10 and 713.12 is: 1,064.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.64 : 1,095.10 = 713.12 : x
  2. Step 2: Convert to fraction form
    733.64/1,095.10 = 713.12/x
  3. Step 3: Cross multiply
    733.64x = 1,095.10 × 713.12
  4. Step 4: Simplify right side
    733.64x = 780,937.71
  5. Step 5: Solve for x
    x = 780,937.71/733.64
  6. Step 6: Final answer
    x = 1,064.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.