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Finding the Fourth Proportional to 1,397.19, 2,095.38 and 564.25

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Solution

The fourth proportional to 1,397.19, 2,095.38 and 564.25 is: 846.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,397.19 : 2,095.38 = 564.25 : x
  2. Step 2: Convert to fraction form
    1,397.19/2,095.38 = 564.25/x
  3. Step 3: Cross multiply
    1,397.19x = 2,095.38 × 564.25
  4. Step 4: Simplify right side
    1,397.19x = 1,182,318.17
  5. Step 5: Solve for x
    x = 1,182,318.17/1,397.19
  6. Step 6: Final answer
    x = 846.21

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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.