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Finding the Fourth Proportional to 1,545.60, 2,318.84 and 450.08

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Solution

The fourth proportional to 1,545.60, 2,318.84 and 450.08 is: 675.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,545.60 : 2,318.84 = 450.08 : x
  2. Step 2: Convert to fraction form
    1,545.60/2,318.84 = 450.08/x
  3. Step 3: Cross multiply
    1,545.60x = 2,318.84 × 450.08
  4. Step 4: Simplify right side
    1,545.60x = 1,043,663.51
  5. Step 5: Solve for x
    x = 1,043,663.51/1,545.60
  6. Step 6: Final answer
    x = 675.25

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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.