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Finding the Fourth Proportional to 757.88, 1,045.46 and 508.77

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Solution

The fourth proportional to 757.88, 1,045.46 and 508.77 is: 701.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.88 : 1,045.46 = 508.77 : x
  2. Step 2: Convert to fraction form
    757.88/1,045.46 = 508.77/x
  3. Step 3: Cross multiply
    757.88x = 1,045.46 × 508.77
  4. Step 4: Simplify right side
    757.88x = 531,899.96
  5. Step 5: Solve for x
    x = 531,899.96/757.88
  6. Step 6: Final answer
    x = 701.83

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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.