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Finding the Fourth Proportional to 1,048.58, 1,561.72 and 1,019.88

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Solution

The fourth proportional to 1,048.58, 1,561.72 and 1,019.88 is: 1,518.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,048.58 : 1,561.72 = 1,019.88 : x
  2. Step 2: Convert to fraction form
    1,048.58/1,561.72 = 1,019.88/x
  3. Step 3: Cross multiply
    1,048.58x = 1,561.72 × 1,019.88
  4. Step 4: Simplify right side
    1,048.58x = 1,592,766.99
  5. Step 5: Solve for x
    x = 1,592,766.99/1,048.58
  6. Step 6: Final answer
    x = 1,518.98

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.