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Finding the Fourth Proportional to 1,026.37, 1,539.56 and 377.10

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Solution

The fourth proportional to 1,026.37, 1,539.56 and 377.10 is: 565.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.37 : 1,539.56 = 377.10 : x
  2. Step 2: Convert to fraction form
    1,026.37/1,539.56 = 377.10/x
  3. Step 3: Cross multiply
    1,026.37x = 1,539.56 × 377.10
  4. Step 4: Simplify right side
    1,026.37x = 580,566.19
  5. Step 5: Solve for x
    x = 580,566.19/1,026.37
  6. Step 6: Final answer
    x = 565.65

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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.