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Finding the Fourth Proportional to 1,493.28, 2,060.63 and 830.16

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Solution

The fourth proportional to 1,493.28, 2,060.63 and 830.16 is: 1,145.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,493.28 : 2,060.63 = 830.16 : x
  2. Step 2: Convert to fraction form
    1,493.28/2,060.63 = 830.16/x
  3. Step 3: Cross multiply
    1,493.28x = 2,060.63 × 830.16
  4. Step 4: Simplify right side
    1,493.28x = 1,710,652.60
  5. Step 5: Solve for x
    x = 1,710,652.60/1,493.28
  6. Step 6: Final answer
    x = 1,145.57

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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.