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Finding the Fourth Proportional to 1,574.28, 2,360.52 and 533.76

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Solution

The fourth proportional to 1,574.28, 2,360.52 and 533.76 is: 800.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,574.28 : 2,360.52 = 533.76 : x
  2. Step 2: Convert to fraction form
    1,574.28/2,360.52 = 533.76/x
  3. Step 3: Cross multiply
    1,574.28x = 2,360.52 × 533.76
  4. Step 4: Simplify right side
    1,574.28x = 1,259,951.16
  5. Step 5: Solve for x
    x = 1,259,951.16/1,574.28
  6. Step 6: Final answer
    x = 800.33

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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.