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Finding the Fourth Proportional to 734.86, 1,014.28 and 486.24

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Solution

The fourth proportional to 734.86, 1,014.28 and 486.24 is: 671.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.86 : 1,014.28 = 486.24 : x
  2. Step 2: Convert to fraction form
    734.86/1,014.28 = 486.24/x
  3. Step 3: Cross multiply
    734.86x = 1,014.28 × 486.24
  4. Step 4: Simplify right side
    734.86x = 493,183.51
  5. Step 5: Solve for x
    x = 493,183.51/734.86
  6. Step 6: Final answer
    x = 671.13

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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.