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Finding the Fourth Proportional to 1,024.60, 1,536.80 and 294.16

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Solution

The fourth proportional to 1,024.60, 1,536.80 and 294.16 is: 441.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.60 : 1,536.80 = 294.16 : x
  2. Step 2: Convert to fraction form
    1,024.60/1,536.80 = 294.16/x
  3. Step 3: Cross multiply
    1,024.60x = 1,536.80 × 294.16
  4. Step 4: Simplify right side
    1,024.60x = 452,065.09
  5. Step 5: Solve for x
    x = 452,065.09/1,024.60
  6. Step 6: Final answer
    x = 441.21

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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.