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Finding the Fourth Proportional to 1,335.15, 2,002.64 and 847.13

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Solution

The fourth proportional to 1,335.15, 2,002.64 and 847.13 is: 1,270.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,335.15 : 2,002.64 = 847.13 : x
  2. Step 2: Convert to fraction form
    1,335.15/2,002.64 = 847.13/x
  3. Step 3: Cross multiply
    1,335.15x = 2,002.64 × 847.13
  4. Step 4: Simplify right side
    1,335.15x = 1,696,482.17
  5. Step 5: Solve for x
    x = 1,696,482.17/1,335.15
  6. Step 6: Final answer
    x = 1,270.63

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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.