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Finding the Fourth Proportional to 734.81, 1,014.07 and 420.16

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Solution

The fourth proportional to 734.81, 1,014.07 and 420.16 is: 579.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.81 : 1,014.07 = 420.16 : x
  2. Step 2: Convert to fraction form
    734.81/1,014.07 = 420.16/x
  3. Step 3: Cross multiply
    734.81x = 1,014.07 × 420.16
  4. Step 4: Simplify right side
    734.81x = 426,073.61
  5. Step 5: Solve for x
    x = 426,073.61/734.81
  6. Step 6: Final answer
    x = 579.84

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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.