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Finding the Fourth Proportional to 830.16, 1,145.16 and 480.60

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Solution

The fourth proportional to 830.16, 1,145.16 and 480.60 is: 662.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.16 : 1,145.16 = 480.60 : x
  2. Step 2: Convert to fraction form
    830.16/1,145.16 = 480.60/x
  3. Step 3: Cross multiply
    830.16x = 1,145.16 × 480.60
  4. Step 4: Simplify right side
    830.16x = 550,363.90
  5. Step 5: Solve for x
    x = 550,363.90/830.16
  6. Step 6: Final answer
    x = 662.96

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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.