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Finding the Fourth Proportional to 1,577.52, 2,366.48 and 537.24

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Solution

The fourth proportional to 1,577.52, 2,366.48 and 537.24 is: 805.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,577.52 : 2,366.48 = 537.24 : x
  2. Step 2: Convert to fraction form
    1,577.52/2,366.48 = 537.24/x
  3. Step 3: Cross multiply
    1,577.52x = 2,366.48 × 537.24
  4. Step 4: Simplify right side
    1,577.52x = 1,271,364.02
  5. Step 5: Solve for x
    x = 1,271,364.02/1,577.52
  6. Step 6: Final answer
    x = 805.93

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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.