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Finding the Fourth Proportional to 943.77, 1,302.38 and 518.38

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Solution

The fourth proportional to 943.77, 1,302.38 and 518.38 is: 715.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.77 : 1,302.38 = 518.38 : x
  2. Step 2: Convert to fraction form
    943.77/1,302.38 = 518.38/x
  3. Step 3: Cross multiply
    943.77x = 1,302.38 × 518.38
  4. Step 4: Simplify right side
    943.77x = 675,127.74
  5. Step 5: Solve for x
    x = 675,127.74/943.77
  6. Step 6: Final answer
    x = 715.35

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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.