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Finding the Fourth Proportional to 1,047.80, 1,569.24 and 615.26

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Solution

The fourth proportional to 1,047.80, 1,569.24 and 615.26 is: 921.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.80 : 1,569.24 = 615.26 : x
  2. Step 2: Convert to fraction form
    1,047.80/1,569.24 = 615.26/x
  3. Step 3: Cross multiply
    1,047.80x = 1,569.24 × 615.26
  4. Step 4: Simplify right side
    1,047.80x = 965,494.53
  5. Step 5: Solve for x
    x = 965,494.53/1,047.80
  6. Step 6: Final answer
    x = 921.45

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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.