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Finding the Fourth Proportional to 1,566.83, 2,350.42 and 526.79

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Solution

The fourth proportional to 1,566.83, 2,350.42 and 526.79 is: 790.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,566.83 : 2,350.42 = 526.79 : x
  2. Step 2: Convert to fraction form
    1,566.83/2,350.42 = 526.79/x
  3. Step 3: Cross multiply
    1,566.83x = 2,350.42 × 526.79
  4. Step 4: Simplify right side
    1,566.83x = 1,238,182.31
  5. Step 5: Solve for x
    x = 1,238,182.31/1,566.83
  6. Step 6: Final answer
    x = 790.25

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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.