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Finding the Fourth Proportional to 790.47, 1,082.94 and 760.91

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Solution

The fourth proportional to 790.47, 1,082.94 and 760.91 is: 1,042.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.47 : 1,082.94 = 760.91 : x
  2. Step 2: Convert to fraction form
    790.47/1,082.94 = 760.91/x
  3. Step 3: Cross multiply
    790.47x = 1,082.94 × 760.91
  4. Step 4: Simplify right side
    790.47x = 824,014.46
  5. Step 5: Solve for x
    x = 824,014.46/790.47
  6. Step 6: Final answer
    x = 1,042.44

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.