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Finding the Fourth Proportional to 1,023.89, 1,535.72 and 293.45

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Solution

The fourth proportional to 1,023.89, 1,535.72 and 293.45 is: 440.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.89 : 1,535.72 = 293.45 : x
  2. Step 2: Convert to fraction form
    1,023.89/1,535.72 = 293.45/x
  3. Step 3: Cross multiply
    1,023.89x = 1,535.72 × 293.45
  4. Step 4: Simplify right side
    1,023.89x = 450,657.03
  5. Step 5: Solve for x
    x = 450,657.03/1,023.89
  6. Step 6: Final answer
    x = 440.14

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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.