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Finding the Fourth Proportional to 784.74, 1,082.34 and 653.52

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Solution

The fourth proportional to 784.74, 1,082.34 and 653.52 is: 901.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.74 : 1,082.34 = 653.52 : x
  2. Step 2: Convert to fraction form
    784.74/1,082.34 = 653.52/x
  3. Step 3: Cross multiply
    784.74x = 1,082.34 × 653.52
  4. Step 4: Simplify right side
    784.74x = 707,330.84
  5. Step 5: Solve for x
    x = 707,330.84/784.74
  6. Step 6: Final answer
    x = 901.36

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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.