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Finding the Fourth Proportional to 1,150.32, 1,724.77 and 564.58

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Solution

The fourth proportional to 1,150.32, 1,724.77 and 564.58 is: 846.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,150.32 : 1,724.77 = 564.58 : x
  2. Step 2: Convert to fraction form
    1,150.32/1,724.77 = 564.58/x
  3. Step 3: Cross multiply
    1,150.32x = 1,724.77 × 564.58
  4. Step 4: Simplify right side
    1,150.32x = 973,762.02
  5. Step 5: Solve for x
    x = 973,762.02/1,150.32
  6. Step 6: Final answer
    x = 846.52

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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.