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Finding the Fourth Proportional to 734.16, 1,014.06 and 594.78

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Solution

The fourth proportional to 734.16, 1,014.06 and 594.78 is: 821.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.16 : 1,014.06 = 594.78 : x
  2. Step 2: Convert to fraction form
    734.16/1,014.06 = 594.78/x
  3. Step 3: Cross multiply
    734.16x = 1,014.06 × 594.78
  4. Step 4: Simplify right side
    734.16x = 603,142.61
  5. Step 5: Solve for x
    x = 603,142.61/734.16
  6. Step 6: Final answer
    x = 821.54

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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.