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Finding the Fourth Proportional to 1,060.95, 1,464.10 and 595.20

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Solution

The fourth proportional to 1,060.95, 1,464.10 and 595.20 is: 821.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,060.95 : 1,464.10 = 595.20 : x
  2. Step 2: Convert to fraction form
    1,060.95/1,464.10 = 595.20/x
  3. Step 3: Cross multiply
    1,060.95x = 1,464.10 × 595.20
  4. Step 4: Simplify right side
    1,060.95x = 871,432.32
  5. Step 5: Solve for x
    x = 871,432.32/1,060.95
  6. Step 6: Final answer
    x = 821.37

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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.