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Finding the Fourth Proportional to 829.34, 1,144.71 and 480.08

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Solution

The fourth proportional to 829.34, 1,144.71 and 480.08 is: 662.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.34 : 1,144.71 = 480.08 : x
  2. Step 2: Convert to fraction form
    829.34/1,144.71 = 480.08/x
  3. Step 3: Cross multiply
    829.34x = 1,144.71 × 480.08
  4. Step 4: Simplify right side
    829.34x = 549,552.38
  5. Step 5: Solve for x
    x = 549,552.38/829.34
  6. Step 6: Final answer
    x = 662.64

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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.