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Finding the Fourth Proportional to 1,566.77, 2,350.44 and 526.88

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Solution

The fourth proportional to 1,566.77, 2,350.44 and 526.88 is: 790.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,566.77 : 2,350.44 = 526.88 : x
  2. Step 2: Convert to fraction form
    1,566.77/2,350.44 = 526.88/x
  3. Step 3: Cross multiply
    1,566.77x = 2,350.44 × 526.88
  4. Step 4: Simplify right side
    1,566.77x = 1,238,399.83
  5. Step 5: Solve for x
    x = 1,238,399.83/1,566.77
  6. Step 6: Final answer
    x = 790.42

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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.