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Finding the Fourth Proportional to 787, 1,084.08 and 590.28

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Solution

The fourth proportional to 787, 1,084.08 and 590.28 is: 813.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    787 : 1,084.08 = 590.28 : x
  2. Step 2: Convert to fraction form
    787/1,084.08 = 590.28/x
  3. Step 3: Cross multiply
    787x = 1,084.08 × 590.28
  4. Step 4: Simplify right side
    787x = 639,910.74
  5. Step 5: Solve for x
    x = 639,910.74/787
  6. Step 6: Final answer
    x = 813.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.