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Finding the Fourth Proportional to 1,061.09, 1,464.22 and 595.25

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Solution

The fourth proportional to 1,061.09, 1,464.22 and 595.25 is: 821.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,061.09 : 1,464.22 = 595.25 : x
  2. Step 2: Convert to fraction form
    1,061.09/1,464.22 = 595.25/x
  3. Step 3: Cross multiply
    1,061.09x = 1,464.22 × 595.25
  4. Step 4: Simplify right side
    1,061.09x = 871,576.96
  5. Step 5: Solve for x
    x = 871,576.96/1,061.09
  6. Step 6: Final answer
    x = 821.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.