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Finding the Fourth Proportional to 1,043.78, 1,565.64 and 274.28

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Solution

The fourth proportional to 1,043.78, 1,565.64 and 274.28 is: 411.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,043.78 : 1,565.64 = 274.28 : x
  2. Step 2: Convert to fraction form
    1,043.78/1,565.64 = 274.28/x
  3. Step 3: Cross multiply
    1,043.78x = 1,565.64 × 274.28
  4. Step 4: Simplify right side
    1,043.78x = 429,423.74
  5. Step 5: Solve for x
    x = 429,423.74/1,043.78
  6. Step 6: Final answer
    x = 411.41

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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.