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Finding the Fourth Proportional to 1,574.39, 2,359.92 and 533.45

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Solution

The fourth proportional to 1,574.39, 2,359.92 and 533.45 is: 799.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,574.39 : 2,359.92 = 533.45 : x
  2. Step 2: Convert to fraction form
    1,574.39/2,359.92 = 533.45/x
  3. Step 3: Cross multiply
    1,574.39x = 2,359.92 × 533.45
  4. Step 4: Simplify right side
    1,574.39x = 1,258,899.32
  5. Step 5: Solve for x
    x = 1,258,899.32/1,574.39
  6. Step 6: Final answer
    x = 799.61

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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.