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Finding the Fourth Proportional to 830.02, 1,145.05 and 535.18

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Solution

The fourth proportional to 830.02, 1,145.05 and 535.18 is: 738.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.02 : 1,145.05 = 535.18 : x
  2. Step 2: Convert to fraction form
    830.02/1,145.05 = 535.18/x
  3. Step 3: Cross multiply
    830.02x = 1,145.05 × 535.18
  4. Step 4: Simplify right side
    830.02x = 612,807.86
  5. Step 5: Solve for x
    x = 612,807.86/830.02
  6. Step 6: Final answer
    x = 738.30

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Half scale
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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.