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Finding the Fourth Proportional to 1,341.39, 2,012.28 and 508.77

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Solution

The fourth proportional to 1,341.39, 2,012.28 and 508.77 is: 763.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,341.39 : 2,012.28 = 508.77 : x
  2. Step 2: Convert to fraction form
    1,341.39/2,012.28 = 508.77/x
  3. Step 3: Cross multiply
    1,341.39x = 2,012.28 × 508.77
  4. Step 4: Simplify right side
    1,341.39x = 1,023,787.70
  5. Step 5: Solve for x
    x = 1,023,787.70/1,341.39
  6. Step 6: Final answer
    x = 763.23

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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.