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Finding the Fourth Proportional to 1,026.11, 1,538.86 and 376.89

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Solution

The fourth proportional to 1,026.11, 1,538.86 and 376.89 is: 565.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.11 : 1,538.86 = 376.89 : x
  2. Step 2: Convert to fraction form
    1,026.11/1,538.86 = 376.89/x
  3. Step 3: Cross multiply
    1,026.11x = 1,538.86 × 376.89
  4. Step 4: Simplify right side
    1,026.11x = 579,980.95
  5. Step 5: Solve for x
    x = 579,980.95/1,026.11
  6. Step 6: Final answer
    x = 565.22

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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.