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Finding the Fourth Proportional to 1,023.07, 1,534.16 and 292.48

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Solution

The fourth proportional to 1,023.07, 1,534.16 and 292.48 is: 438.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.07 : 1,534.16 = 292.48 : x
  2. Step 2: Convert to fraction form
    1,023.07/1,534.16 = 292.48/x
  3. Step 3: Cross multiply
    1,023.07x = 1,534.16 × 292.48
  4. Step 4: Simplify right side
    1,023.07x = 448,709.65
  5. Step 5: Solve for x
    x = 448,709.65/1,023.07
  6. Step 6: Final answer
    x = 438.59

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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.