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Finding the Fourth Proportional to 1,335.63, 2,002.87 and 710.81

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Solution

The fourth proportional to 1,335.63, 2,002.87 and 710.81 is: 1,065.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,335.63 : 2,002.87 = 710.81 : x
  2. Step 2: Convert to fraction form
    1,335.63/2,002.87 = 710.81/x
  3. Step 3: Cross multiply
    1,335.63x = 2,002.87 × 710.81
  4. Step 4: Simplify right side
    1,335.63x = 1,423,660.02
  5. Step 5: Solve for x
    x = 1,423,660.02/1,335.63
  6. Step 6: Final answer
    x = 1,065.91

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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.