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Finding the Fourth Proportional to 1,059.98, 1,582.91 and 1,048.53

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Solution

The fourth proportional to 1,059.98, 1,582.91 and 1,048.53 is: 1,565.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,059.98 : 1,582.91 = 1,048.53 : x
  2. Step 2: Convert to fraction form
    1,059.98/1,582.91 = 1,048.53/x
  3. Step 3: Cross multiply
    1,059.98x = 1,582.91 × 1,048.53
  4. Step 4: Simplify right side
    1,059.98x = 1,659,723.38
  5. Step 5: Solve for x
    x = 1,659,723.38/1,059.98
  6. Step 6: Final answer
    x = 1,565.81

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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.