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Finding the Fourth Proportional to 1,397.18, 2,095.34 and 472.57

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Solution

The fourth proportional to 1,397.18, 2,095.34 and 472.57 is: 708.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,397.18 : 2,095.34 = 472.57 : x
  2. Step 2: Convert to fraction form
    1,397.18/2,095.34 = 472.57/x
  3. Step 3: Cross multiply
    1,397.18x = 2,095.34 × 472.57
  4. Step 4: Simplify right side
    1,397.18x = 990,187.22
  5. Step 5: Solve for x
    x = 990,187.22/1,397.18
  6. Step 6: Final answer
    x = 708.70

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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.