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Finding the Fourth Proportional to 743.30, 1,026.84 and 586.97

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Solution

The fourth proportional to 743.30, 1,026.84 and 586.97 is: 810.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.30 : 1,026.84 = 586.97 : x
  2. Step 2: Convert to fraction form
    743.30/1,026.84 = 586.97/x
  3. Step 3: Cross multiply
    743.30x = 1,026.84 × 586.97
  4. Step 4: Simplify right side
    743.30x = 602,719.14
  5. Step 5: Solve for x
    x = 602,719.14/743.30
  6. Step 6: Final answer
    x = 810.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.