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Finding the Fourth Proportional to 943.69, 1,302.29 and 529.69

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Solution

The fourth proportional to 943.69, 1,302.29 and 529.69 is: 730.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.69 : 1,302.29 = 529.69 : x
  2. Step 2: Convert to fraction form
    943.69/1,302.29 = 529.69/x
  3. Step 3: Cross multiply
    943.69x = 1,302.29 × 529.69
  4. Step 4: Simplify right side
    943.69x = 689,809.99
  5. Step 5: Solve for x
    x = 689,809.99/943.69
  6. Step 6: Final answer
    x = 730.97

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Half scale
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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.