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Finding the Fourth Proportional to 746.34, 1,029.91 and 414.75

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Solution

The fourth proportional to 746.34, 1,029.91 and 414.75 is: 572.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.34 : 1,029.91 = 414.75 : x
  2. Step 2: Convert to fraction form
    746.34/1,029.91 = 414.75/x
  3. Step 3: Cross multiply
    746.34x = 1,029.91 × 414.75
  4. Step 4: Simplify right side
    746.34x = 427,155.17
  5. Step 5: Solve for x
    x = 427,155.17/746.34
  6. Step 6: Final answer
    x = 572.33

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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.