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Finding the Fourth Proportional to 784.46, 1,174.80 and 458.84

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Solution

The fourth proportional to 784.46, 1,174.80 and 458.84 is: 687.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.46 : 1,174.80 = 458.84 : x
  2. Step 2: Convert to fraction form
    784.46/1,174.80 = 458.84/x
  3. Step 3: Cross multiply
    784.46x = 1,174.80 × 458.84
  4. Step 4: Simplify right side
    784.46x = 539,045.23
  5. Step 5: Solve for x
    x = 539,045.23/784.46
  6. Step 6: Final answer
    x = 687.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.