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Finding the Fourth Proportional to 1,335.32, 1,841.82 and 775.82

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Solution

The fourth proportional to 1,335.32, 1,841.82 and 775.82 is: 1,070.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,335.32 : 1,841.82 = 775.82 : x
  2. Step 2: Convert to fraction form
    1,335.32/1,841.82 = 775.82/x
  3. Step 3: Cross multiply
    1,335.32x = 1,841.82 × 775.82
  4. Step 4: Simplify right side
    1,335.32x = 1,428,920.79
  5. Step 5: Solve for x
    x = 1,428,920.79/1,335.32
  6. Step 6: Final answer
    x = 1,070.10

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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.