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Finding the Fourth Proportional to 734.64, 1,013.46 and 595.20

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Solution

The fourth proportional to 734.64, 1,013.46 and 595.20 is: 821.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.64 : 1,013.46 = 595.20 : x
  2. Step 2: Convert to fraction form
    734.64/1,013.46 = 595.20/x
  3. Step 3: Cross multiply
    734.64x = 1,013.46 × 595.20
  4. Step 4: Simplify right side
    734.64x = 603,211.39
  5. Step 5: Solve for x
    x = 603,211.39/734.64
  6. Step 6: Final answer
    x = 821.10

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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.