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Finding the Fourth Proportional to 1,036.92, 1,552.74 and 574.20

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Solution

The fourth proportional to 1,036.92, 1,552.74 and 574.20 is: 859.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036.92 : 1,552.74 = 574.20 : x
  2. Step 2: Convert to fraction form
    1,036.92/1,552.74 = 574.20/x
  3. Step 3: Cross multiply
    1,036.92x = 1,552.74 × 574.20
  4. Step 4: Simplify right side
    1,036.92x = 891,583.31
  5. Step 5: Solve for x
    x = 891,583.31/1,036.92
  6. Step 6: Final answer
    x = 859.84

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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.