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Finding the Fourth Proportional to 830.34, 1,146.24 and 531.90

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Solution

The fourth proportional to 830.34, 1,146.24 and 531.90 is: 734.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.34 : 1,146.24 = 531.90 : x
  2. Step 2: Convert to fraction form
    830.34/1,146.24 = 531.90/x
  3. Step 3: Cross multiply
    830.34x = 1,146.24 × 531.90
  4. Step 4: Simplify right side
    830.34x = 609,685.06
  5. Step 5: Solve for x
    x = 609,685.06/830.34
  6. Step 6: Final answer
    x = 734.26

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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.