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Finding the Fourth Proportional to 941.76, 1,412.68 and 576.32

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Solution

The fourth proportional to 941.76, 1,412.68 and 576.32 is: 864.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.76 : 1,412.68 = 576.32 : x
  2. Step 2: Convert to fraction form
    941.76/1,412.68 = 576.32/x
  3. Step 3: Cross multiply
    941.76x = 1,412.68 × 576.32
  4. Step 4: Simplify right side
    941.76x = 814,155.74
  5. Step 5: Solve for x
    x = 814,155.74/941.76
  6. Step 6: Final answer
    x = 864.50

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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.