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Finding the Fourth Proportional to 1,043.30, 1,562.55 and 1,019.30

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Solution

The fourth proportional to 1,043.30, 1,562.55 and 1,019.30 is: 1,526.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,043.30 : 1,562.55 = 1,019.30 : x
  2. Step 2: Convert to fraction form
    1,043.30/1,562.55 = 1,019.30/x
  3. Step 3: Cross multiply
    1,043.30x = 1,562.55 × 1,019.30
  4. Step 4: Simplify right side
    1,043.30x = 1,592,707.22
  5. Step 5: Solve for x
    x = 1,592,707.22/1,043.30
  6. Step 6: Final answer
    x = 1,526.61

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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.