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Finding the Fourth Proportional to 784.74, 1,082.88 and 469.98

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Solution

The fourth proportional to 784.74, 1,082.88 and 469.98 is: 648.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.74 : 1,082.88 = 469.98 : x
  2. Step 2: Convert to fraction form
    784.74/1,082.88 = 469.98/x
  3. Step 3: Cross multiply
    784.74x = 1,082.88 × 469.98
  4. Step 4: Simplify right side
    784.74x = 508,931.94
  5. Step 5: Solve for x
    x = 508,931.94/784.74
  6. Step 6: Final answer
    x = 648.54

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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.