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Finding the Fourth Proportional to 784.80, 1,084.32 and 588.96

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Solution

The fourth proportional to 784.80, 1,084.32 and 588.96 is: 813.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.80 : 1,084.32 = 588.96 : x
  2. Step 2: Convert to fraction form
    784.80/1,084.32 = 588.96/x
  3. Step 3: Cross multiply
    784.80x = 1,084.32 × 588.96
  4. Step 4: Simplify right side
    784.80x = 638,621.11
  5. Step 5: Solve for x
    x = 638,621.11/784.80
  6. Step 6: Final answer
    x = 813.74

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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.