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Finding the Fourth Proportional to 897.84, 1,239.57 and 618.57

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Solution

The fourth proportional to 897.84, 1,239.57 and 618.57 is: 854.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.84 : 1,239.57 = 618.57 : x
  2. Step 2: Convert to fraction form
    897.84/1,239.57 = 618.57/x
  3. Step 3: Cross multiply
    897.84x = 1,239.57 × 618.57
  4. Step 4: Simplify right side
    897.84x = 766,760.81
  5. Step 5: Solve for x
    x = 766,760.81/897.84
  6. Step 6: Final answer
    x = 854.01

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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.