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Finding the Fourth Proportional to 1,053.20, 1,579.80 and 615.80

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Solution

The fourth proportional to 1,053.20, 1,579.80 and 615.80 is: 923.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053.20 : 1,579.80 = 615.80 : x
  2. Step 2: Convert to fraction form
    1,053.20/1,579.80 = 615.80/x
  3. Step 3: Cross multiply
    1,053.20x = 1,579.80 × 615.80
  4. Step 4: Simplify right side
    1,053.20x = 972,840.84
  5. Step 5: Solve for x
    x = 972,840.84/1,053.20
  6. Step 6: Final answer
    x = 923.70

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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.