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Finding the Fourth Proportional to 1,566.61, 2,350.14 and 526.39

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Solution

The fourth proportional to 1,566.61, 2,350.14 and 526.39 is: 789.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,566.61 : 2,350.14 = 526.39 : x
  2. Step 2: Convert to fraction form
    1,566.61/2,350.14 = 526.39/x
  3. Step 3: Cross multiply
    1,566.61x = 2,350.14 × 526.39
  4. Step 4: Simplify right side
    1,566.61x = 1,237,090.19
  5. Step 5: Solve for x
    x = 1,237,090.19/1,566.61
  6. Step 6: Final answer
    x = 789.66

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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.