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Finding the Fourth Proportional to 1,097.70, 1,647.24 and 570.66

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Solution

The fourth proportional to 1,097.70, 1,647.24 and 570.66 is: 856.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.70 : 1,647.24 = 570.66 : x
  2. Step 2: Convert to fraction form
    1,097.70/1,647.24 = 570.66/x
  3. Step 3: Cross multiply
    1,097.70x = 1,647.24 × 570.66
  4. Step 4: Simplify right side
    1,097.70x = 940,013.98
  5. Step 5: Solve for x
    x = 940,013.98/1,097.70
  6. Step 6: Final answer
    x = 856.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.