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Finding the Fourth Proportional to 734.88, 1,014.21 and 472.86

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Solution

The fourth proportional to 734.88, 1,014.21 and 472.86 is: 652.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.88 : 1,014.21 = 472.86 : x
  2. Step 2: Convert to fraction form
    734.88/1,014.21 = 472.86/x
  3. Step 3: Cross multiply
    734.88x = 1,014.21 × 472.86
  4. Step 4: Simplify right side
    734.88x = 479,579.34
  5. Step 5: Solve for x
    x = 479,579.34/734.88
  6. Step 6: Final answer
    x = 652.60

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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.