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Finding the Fourth Proportional to 1,697.09, 2,545.73 and 527.19

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Solution

The fourth proportional to 1,697.09, 2,545.73 and 527.19 is: 790.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,697.09 : 2,545.73 = 527.19 : x
  2. Step 2: Convert to fraction form
    1,697.09/2,545.73 = 527.19/x
  3. Step 3: Cross multiply
    1,697.09x = 2,545.73 × 527.19
  4. Step 4: Simplify right side
    1,697.09x = 1,342,080.76
  5. Step 5: Solve for x
    x = 1,342,080.76/1,697.09
  6. Step 6: Final answer
    x = 790.82

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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.