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Finding the Fourth Proportional to 1,566.66, 2,348.29 and 525.70

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Solution

The fourth proportional to 1,566.66, 2,348.29 and 525.70 is: 787.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,566.66 : 2,348.29 = 525.70 : x
  2. Step 2: Convert to fraction form
    1,566.66/2,348.29 = 525.70/x
  3. Step 3: Cross multiply
    1,566.66x = 2,348.29 × 525.70
  4. Step 4: Simplify right side
    1,566.66x = 1,234,496.05
  5. Step 5: Solve for x
    x = 1,234,496.05/1,566.66
  6. Step 6: Final answer
    x = 787.98

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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.