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Finding the Fourth Proportional to 1,566.30, 2,348.82 and 526.14

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Solution

The fourth proportional to 1,566.30, 2,348.82 and 526.14 is: 789.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,566.30 : 2,348.82 = 526.14 : x
  2. Step 2: Convert to fraction form
    1,566.30/2,348.82 = 526.14/x
  3. Step 3: Cross multiply
    1,566.30x = 2,348.82 × 526.14
  4. Step 4: Simplify right side
    1,566.30x = 1,235,808.15
  5. Step 5: Solve for x
    x = 1,235,808.15/1,566.30
  6. Step 6: Final answer
    x = 789.00

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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.