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Finding the Fourth Proportional to 977.84, 1,348.36 and 742.22

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Solution

The fourth proportional to 977.84, 1,348.36 and 742.22 is: 1,023.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.84 : 1,348.36 = 742.22 : x
  2. Step 2: Convert to fraction form
    977.84/1,348.36 = 742.22/x
  3. Step 3: Cross multiply
    977.84x = 1,348.36 × 742.22
  4. Step 4: Simplify right side
    977.84x = 1,000,771.16
  5. Step 5: Solve for x
    x = 1,000,771.16/977.84
  6. Step 6: Final answer
    x = 1,023.46

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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.