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Finding the Fourth Proportional to 1,710.59, 2,566.30 and 599.85

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Solution

The fourth proportional to 1,710.59, 2,566.30 and 599.85 is: 899.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,710.59 : 2,566.30 = 599.85 : x
  2. Step 2: Convert to fraction form
    1,710.59/2,566.30 = 599.85/x
  3. Step 3: Cross multiply
    1,710.59x = 2,566.30 × 599.85
  4. Step 4: Simplify right side
    1,710.59x = 1,539,380.72
  5. Step 5: Solve for x
    x = 1,539,380.72/1,710.59
  6. Step 6: Final answer
    x = 899.91

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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.