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Finding the Fourth Proportional to 1,697.57, 2,547.29 and 711.07

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Solution

The fourth proportional to 1,697.57, 2,547.29 and 711.07 is: 1,066.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,697.57 : 2,547.29 = 711.07 : x
  2. Step 2: Convert to fraction form
    1,697.57/2,547.29 = 711.07/x
  3. Step 3: Cross multiply
    1,697.57x = 2,547.29 × 711.07
  4. Step 4: Simplify right side
    1,697.57x = 1,811,288.33
  5. Step 5: Solve for x
    x = 1,811,288.33/1,697.57
  6. Step 6: Final answer
    x = 1,066.99

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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.