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Finding the Fourth Proportional to 734.34, 1,013.95 and 577.74

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Solution

The fourth proportional to 734.34, 1,013.95 and 577.74 is: 797.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.34 : 1,013.95 = 577.74 : x
  2. Step 2: Convert to fraction form
    734.34/1,013.95 = 577.74/x
  3. Step 3: Cross multiply
    734.34x = 1,013.95 × 577.74
  4. Step 4: Simplify right side
    734.34x = 585,799.47
  5. Step 5: Solve for x
    x = 585,799.47/734.34
  6. Step 6: Final answer
    x = 797.72

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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.