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Finding the Fourth Proportional to 1,026.04, 1,535.28 and 615.46

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Solution

The fourth proportional to 1,026.04, 1,535.28 and 615.46 is: 920.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.04 : 1,535.28 = 615.46 : x
  2. Step 2: Convert to fraction form
    1,026.04/1,535.28 = 615.46/x
  3. Step 3: Cross multiply
    1,026.04x = 1,535.28 × 615.46
  4. Step 4: Simplify right side
    1,026.04x = 944,903.43
  5. Step 5: Solve for x
    x = 944,903.43/1,026.04
  6. Step 6: Final answer
    x = 920.92

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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.