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Finding the Fourth Proportional to 1,100.35, 1,651.79 and 870.01

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Solution

The fourth proportional to 1,100.35, 1,651.79 and 870.01 is: 1,306.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100.35 : 1,651.79 = 870.01 : x
  2. Step 2: Convert to fraction form
    1,100.35/1,651.79 = 870.01/x
  3. Step 3: Cross multiply
    1,100.35x = 1,651.79 × 870.01
  4. Step 4: Simplify right side
    1,100.35x = 1,437,073.82
  5. Step 5: Solve for x
    x = 1,437,073.82/1,100.35
  6. Step 6: Final answer
    x = 1,306.02

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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.