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Finding the Fourth Proportional to 830.13, 1,144.68 and 535.29

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Solution

The fourth proportional to 830.13, 1,144.68 and 535.29 is: 738.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.13 : 1,144.68 = 535.29 : x
  2. Step 2: Convert to fraction form
    830.13/1,144.68 = 535.29/x
  3. Step 3: Cross multiply
    830.13x = 1,144.68 × 535.29
  4. Step 4: Simplify right side
    830.13x = 612,735.76
  5. Step 5: Solve for x
    x = 612,735.76/830.13
  6. Step 6: Final answer
    x = 738.12

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1.5x scale

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.