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Finding the Fourth Proportional to 1,155.12, 1,730.52 and 900.24

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Solution

The fourth proportional to 1,155.12, 1,730.52 and 900.24 is: 1,348.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,155.12 : 1,730.52 = 900.24 : x
  2. Step 2: Convert to fraction form
    1,155.12/1,730.52 = 900.24/x
  3. Step 3: Cross multiply
    1,155.12x = 1,730.52 × 900.24
  4. Step 4: Simplify right side
    1,155.12x = 1,557,883.32
  5. Step 5: Solve for x
    x = 1,557,883.32/1,155.12
  6. Step 6: Final answer
    x = 1,348.68

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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.