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Finding the Fourth Proportional to 830.12, 1,145.34 and 535.14

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Solution

The fourth proportional to 830.12, 1,145.34 and 535.14 is: 738.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.12 : 1,145.34 = 535.14 : x
  2. Step 2: Convert to fraction form
    830.12/1,145.34 = 535.14/x
  3. Step 3: Cross multiply
    830.12x = 1,145.34 × 535.14
  4. Step 4: Simplify right side
    830.12x = 612,917.25
  5. Step 5: Solve for x
    x = 612,917.25/830.12
  6. Step 6: Final answer
    x = 738.35

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Double scale
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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.