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Finding the Fourth Proportional to 1,164.12, 1,746.96 and 480.12

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Solution

The fourth proportional to 1,164.12, 1,746.96 and 480.12 is: 720.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.12 : 1,746.96 = 480.12 : x
  2. Step 2: Convert to fraction form
    1,164.12/1,746.96 = 480.12/x
  3. Step 3: Cross multiply
    1,164.12x = 1,746.96 × 480.12
  4. Step 4: Simplify right side
    1,164.12x = 838,750.44
  5. Step 5: Solve for x
    x = 838,750.44/1,164.12
  6. Step 6: Final answer
    x = 720.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.