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Finding the Fourth Proportional to 734.61, 1,014.21 and 486.27

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Solution

The fourth proportional to 734.61, 1,014.21 and 486.27 is: 671.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.61 : 1,014.21 = 486.27 : x
  2. Step 2: Convert to fraction form
    734.61/1,014.21 = 486.27/x
  3. Step 3: Cross multiply
    734.61x = 1,014.21 × 486.27
  4. Step 4: Simplify right side
    734.61x = 493,181.11
  5. Step 5: Solve for x
    x = 493,181.11/734.61
  6. Step 6: Final answer
    x = 671.36

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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.