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Finding the Fourth Proportional to 897.90, 1,240.83 and 701.07

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Solution

The fourth proportional to 897.90, 1,240.83 and 701.07 is: 968.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.90 : 1,240.83 = 701.07 : x
  2. Step 2: Convert to fraction form
    897.90/1,240.83 = 701.07/x
  3. Step 3: Cross multiply
    897.90x = 1,240.83 × 701.07
  4. Step 4: Simplify right side
    897.90x = 869,908.69
  5. Step 5: Solve for x
    x = 869,908.69/897.90
  6. Step 6: Final answer
    x = 968.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.