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Finding the Fourth Proportional to 830.02, 1,142.16 and 768.04

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Solution

The fourth proportional to 830.02, 1,142.16 and 768.04 is: 1,056.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.02 : 1,142.16 = 768.04 : x
  2. Step 2: Convert to fraction form
    830.02/1,142.16 = 768.04/x
  3. Step 3: Cross multiply
    830.02x = 1,142.16 × 768.04
  4. Step 4: Simplify right side
    830.02x = 877,224.57
  5. Step 5: Solve for x
    x = 877,224.57/830.02
  6. Step 6: Final answer
    x = 1,056.87

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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.