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Finding the Fourth Proportional to 1,026.52, 1,539.66 and 296.11

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Solution

The fourth proportional to 1,026.52, 1,539.66 and 296.11 is: 444.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.52 : 1,539.66 = 296.11 : x
  2. Step 2: Convert to fraction form
    1,026.52/1,539.66 = 296.11/x
  3. Step 3: Cross multiply
    1,026.52x = 1,539.66 × 296.11
  4. Step 4: Simplify right side
    1,026.52x = 455,901.43
  5. Step 5: Solve for x
    x = 455,901.43/1,026.52
  6. Step 6: Final answer
    x = 444.12

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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.