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Finding the Fourth Proportional to 735.16, 1,015.17 and 684.13

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Solution

The fourth proportional to 735.16, 1,015.17 and 684.13 is: 944.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.16 : 1,015.17 = 684.13 : x
  2. Step 2: Convert to fraction form
    735.16/1,015.17 = 684.13/x
  3. Step 3: Cross multiply
    735.16x = 1,015.17 × 684.13
  4. Step 4: Simplify right side
    735.16x = 694,508.25
  5. Step 5: Solve for x
    x = 694,508.25/735.16
  6. Step 6: Final answer
    x = 944.70

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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.