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Finding the Fourth Proportional to 782.85, 1,077.87 and 595.74

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Solution

The fourth proportional to 782.85, 1,077.87 and 595.74 is: 820.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.85 : 1,077.87 = 595.74 : x
  2. Step 2: Convert to fraction form
    782.85/1,077.87 = 595.74/x
  3. Step 3: Cross multiply
    782.85x = 1,077.87 × 595.74
  4. Step 4: Simplify right side
    782.85x = 642,130.27
  5. Step 5: Solve for x
    x = 642,130.27/782.85
  6. Step 6: Final answer
    x = 820.25

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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.