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Finding the Fourth Proportional to 1,566.04, 2,348.98 and 526.05

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Solution

The fourth proportional to 1,566.04, 2,348.98 and 526.05 is: 789.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,566.04 : 2,348.98 = 526.05 : x
  2. Step 2: Convert to fraction form
    1,566.04/2,348.98 = 526.05/x
  3. Step 3: Cross multiply
    1,566.04x = 2,348.98 × 526.05
  4. Step 4: Simplify right side
    1,566.04x = 1,235,689.18
  5. Step 5: Solve for x
    x = 1,235,689.18/1,566.04
  6. Step 6: Final answer
    x = 789.05

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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.