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Finding the Fourth Proportional to 976.06, 1,464.12 and 488.93

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Solution

The fourth proportional to 976.06, 1,464.12 and 488.93 is: 733.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.06 : 1,464.12 = 488.93 : x
  2. Step 2: Convert to fraction form
    976.06/1,464.12 = 488.93/x
  3. Step 3: Cross multiply
    976.06x = 1,464.12 × 488.93
  4. Step 4: Simplify right side
    976.06x = 715,852.19
  5. Step 5: Solve for x
    x = 715,852.19/976.06
  6. Step 6: Final answer
    x = 733.41

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Double scale
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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.