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Finding the Fourth Proportional to 897.84, 1,239.07 and 598.57

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Solution

The fourth proportional to 897.84, 1,239.07 and 598.57 is: 826.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.84 : 1,239.07 = 598.57 : x
  2. Step 2: Convert to fraction form
    897.84/1,239.07 = 598.57/x
  3. Step 3: Cross multiply
    897.84x = 1,239.07 × 598.57
  4. Step 4: Simplify right side
    897.84x = 741,670.13
  5. Step 5: Solve for x
    x = 741,670.13/897.84
  6. Step 6: Final answer
    x = 826.06

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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.