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Finding the Fourth Proportional to 1,397.55, 2,096.31 and 564.99

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Solution

The fourth proportional to 1,397.55, 2,096.31 and 564.99 is: 847.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,397.55 : 2,096.31 = 564.99 : x
  2. Step 2: Convert to fraction form
    1,397.55/2,096.31 = 564.99/x
  3. Step 3: Cross multiply
    1,397.55x = 2,096.31 × 564.99
  4. Step 4: Simplify right side
    1,397.55x = 1,184,394.19
  5. Step 5: Solve for x
    x = 1,184,394.19/1,397.55
  6. Step 6: Final answer
    x = 847.48

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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.