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Finding the Fourth Proportional to 784.53, 1,177.70 and 460.13

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Solution

The fourth proportional to 784.53, 1,177.70 and 460.13 is: 690.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.53 : 1,177.70 = 460.13 : x
  2. Step 2: Convert to fraction form
    784.53/1,177.70 = 460.13/x
  3. Step 3: Cross multiply
    784.53x = 1,177.70 × 460.13
  4. Step 4: Simplify right side
    784.53x = 541,886.91
  5. Step 5: Solve for x
    x = 541,886.91/784.53
  6. Step 6: Final answer
    x = 690.72

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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.