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Finding the Fourth Proportional to 1,051.52, 1,577.88 and 1,011.56

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Solution

The fourth proportional to 1,051.52, 1,577.88 and 1,011.56 is: 1,517.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,051.52 : 1,577.88 = 1,011.56 : x
  2. Step 2: Convert to fraction form
    1,051.52/1,577.88 = 1,011.56/x
  3. Step 3: Cross multiply
    1,051.52x = 1,577.88 × 1,011.56
  4. Step 4: Simplify right side
    1,051.52x = 1,596,120.29
  5. Step 5: Solve for x
    x = 1,596,120.29/1,051.52
  6. Step 6: Final answer
    x = 1,517.92

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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.