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Finding the Fourth Proportional to 1,017.07, 1,402.21 and 778.21

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Solution

The fourth proportional to 1,017.07, 1,402.21 and 778.21 is: 1,072.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,017.07 : 1,402.21 = 778.21 : x
  2. Step 2: Convert to fraction form
    1,017.07/1,402.21 = 778.21/x
  3. Step 3: Cross multiply
    1,017.07x = 1,402.21 × 778.21
  4. Step 4: Simplify right side
    1,017.07x = 1,091,213.84
  5. Step 5: Solve for x
    x = 1,091,213.84/1,017.07
  6. Step 6: Final answer
    x = 1,072.90

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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.