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Finding the Fourth Proportional to 897.25, 1,344.12 and 588.16

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Solution

The fourth proportional to 897.25, 1,344.12 and 588.16 is: 881.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.25 : 1,344.12 = 588.16 : x
  2. Step 2: Convert to fraction form
    897.25/1,344.12 = 588.16/x
  3. Step 3: Cross multiply
    897.25x = 1,344.12 × 588.16
  4. Step 4: Simplify right side
    897.25x = 790,557.62
  5. Step 5: Solve for x
    x = 790,557.62/897.25
  6. Step 6: Final answer
    x = 881.09

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Double scale
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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.