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Finding the Fourth Proportional to 743.24, 1,026.06 and 522.38

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Solution

The fourth proportional to 743.24, 1,026.06 and 522.38 is: 721.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.24 : 1,026.06 = 522.38 : x
  2. Step 2: Convert to fraction form
    743.24/1,026.06 = 522.38/x
  3. Step 3: Cross multiply
    743.24x = 1,026.06 × 522.38
  4. Step 4: Simplify right side
    743.24x = 535,993.22
  5. Step 5: Solve for x
    x = 535,993.22/743.24
  6. Step 6: Final answer
    x = 721.16

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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.