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Finding the Fourth Proportional to 1,060.42, 1,463.44 and 588.32

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Solution

The fourth proportional to 1,060.42, 1,463.44 and 588.32 is: 811.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,060.42 : 1,463.44 = 588.32 : x
  2. Step 2: Convert to fraction form
    1,060.42/1,463.44 = 588.32/x
  3. Step 3: Cross multiply
    1,060.42x = 1,463.44 × 588.32
  4. Step 4: Simplify right side
    1,060.42x = 860,971.02
  5. Step 5: Solve for x
    x = 860,971.02/1,060.42
  6. Step 6: Final answer
    x = 811.92

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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.