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Finding the Fourth Proportional to 735.99, 1,098.29 and 654.18

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Solution

The fourth proportional to 735.99, 1,098.29 and 654.18 is: 976.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.99 : 1,098.29 = 654.18 : x
  2. Step 2: Convert to fraction form
    735.99/1,098.29 = 654.18/x
  3. Step 3: Cross multiply
    735.99x = 1,098.29 × 654.18
  4. Step 4: Simplify right side
    735.99x = 718,479.35
  5. Step 5: Solve for x
    x = 718,479.35/735.99
  6. Step 6: Final answer
    x = 976.21

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.