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Finding the Fourth Proportional to 1,023.07, 1,534.60 and 292.63

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Solution

The fourth proportional to 1,023.07, 1,534.60 and 292.63 is: 438.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.07 : 1,534.60 = 292.63 : x
  2. Step 2: Convert to fraction form
    1,023.07/1,534.60 = 292.63/x
  3. Step 3: Cross multiply
    1,023.07x = 1,534.60 × 292.63
  4. Step 4: Simplify right side
    1,023.07x = 449,066.53
  5. Step 5: Solve for x
    x = 449,066.53/1,023.07
  6. Step 6: Final answer
    x = 438.94

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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.