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Finding the Fourth Proportional to 840.42, 1,262.07 and 731.07

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Solution

The fourth proportional to 840.42, 1,262.07 and 731.07 is: 1,097.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.42 : 1,262.07 = 731.07 : x
  2. Step 2: Convert to fraction form
    840.42/1,262.07 = 731.07/x
  3. Step 3: Cross multiply
    840.42x = 1,262.07 × 731.07
  4. Step 4: Simplify right side
    840.42x = 922,661.51
  5. Step 5: Solve for x
    x = 922,661.51/840.42
  6. Step 6: Final answer
    x = 1,097.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.