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Finding the Fourth Proportional to 1,026.61, 1,540.01 and 377.39

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Solution

The fourth proportional to 1,026.61, 1,540.01 and 377.39 is: 566.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.61 : 1,540.01 = 377.39 : x
  2. Step 2: Convert to fraction form
    1,026.61/1,540.01 = 377.39/x
  3. Step 3: Cross multiply
    1,026.61x = 1,540.01 × 377.39
  4. Step 4: Simplify right side
    1,026.61x = 581,184.37
  5. Step 5: Solve for x
    x = 581,184.37/1,026.61
  6. Step 6: Final answer
    x = 566.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.