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Finding the Fourth Proportional to 704.77, 1,052.47 and 697.14

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Solution

The fourth proportional to 704.77, 1,052.47 and 697.14 is: 1,041.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.77 : 1,052.47 = 697.14 : x
  2. Step 2: Convert to fraction form
    704.77/1,052.47 = 697.14/x
  3. Step 3: Cross multiply
    704.77x = 1,052.47 × 697.14
  4. Step 4: Simplify right side
    704.77x = 733,723.31
  5. Step 5: Solve for x
    x = 733,723.31/704.77
  6. Step 6: Final answer
    x = 1,041.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.