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Finding the Fourth Proportional to 1,385.15, 2,077.45 and 508.19

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Solution

The fourth proportional to 1,385.15, 2,077.45 and 508.19 is: 762.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,385.15 : 2,077.45 = 508.19 : x
  2. Step 2: Convert to fraction form
    1,385.15/2,077.45 = 508.19/x
  3. Step 3: Cross multiply
    1,385.15x = 2,077.45 × 508.19
  4. Step 4: Simplify right side
    1,385.15x = 1,055,727.66
  5. Step 5: Solve for x
    x = 1,055,727.66/1,385.15
  6. Step 6: Final answer
    x = 762.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.