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Finding the Fourth Proportional to 1,102.94, 1,652.86 and 870.81

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Solution

The fourth proportional to 1,102.94, 1,652.86 and 870.81 is: 1,304.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102.94 : 1,652.86 = 870.81 : x
  2. Step 2: Convert to fraction form
    1,102.94/1,652.86 = 870.81/x
  3. Step 3: Cross multiply
    1,102.94x = 1,652.86 × 870.81
  4. Step 4: Simplify right side
    1,102.94x = 1,439,327.02
  5. Step 5: Solve for x
    x = 1,439,327.02/1,102.94
  6. Step 6: Final answer
    x = 1,304.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.