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Finding the Fourth Proportional to 1,026.42, 1,540.01 and 615.85

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Solution

The fourth proportional to 1,026.42, 1,540.01 and 615.85 is: 924.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.42 : 1,540.01 = 615.85 : x
  2. Step 2: Convert to fraction form
    1,026.42/1,540.01 = 615.85/x
  3. Step 3: Cross multiply
    1,026.42x = 1,540.01 × 615.85
  4. Step 4: Simplify right side
    1,026.42x = 948,409.38
  5. Step 5: Solve for x
    x = 948,409.38/1,026.42
  6. Step 6: Final answer
    x = 924.00

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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.