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Finding the Fourth Proportional to 1,023.84, 1,535.82 and 293.53

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Solution

The fourth proportional to 1,023.84, 1,535.82 and 293.53 is: 440.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.84 : 1,535.82 = 293.53 : x
  2. Step 2: Convert to fraction form
    1,023.84/1,535.82 = 293.53/x
  3. Step 3: Cross multiply
    1,023.84x = 1,535.82 × 293.53
  4. Step 4: Simplify right side
    1,023.84x = 450,809.24
  5. Step 5: Solve for x
    x = 450,809.24/1,023.84
  6. Step 6: Final answer
    x = 440.31

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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.