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Finding the Fourth Proportional to 1,335.06, 1,841.55 and 862.77

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Solution

The fourth proportional to 1,335.06, 1,841.55 and 862.77 is: 1,190.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,335.06 : 1,841.55 = 862.77 : x
  2. Step 2: Convert to fraction form
    1,335.06/1,841.55 = 862.77/x
  3. Step 3: Cross multiply
    1,335.06x = 1,841.55 × 862.77
  4. Step 4: Simplify right side
    1,335.06x = 1,588,834.09
  5. Step 5: Solve for x
    x = 1,588,834.09/1,335.06
  6. Step 6: Final answer
    x = 1,190.08

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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.