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Finding the Fourth Proportional to 897.09, 1,238.04 and 597.81

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Solution

The fourth proportional to 897.09, 1,238.04 and 597.81 is: 825.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.09 : 1,238.04 = 597.81 : x
  2. Step 2: Convert to fraction form
    897.09/1,238.04 = 597.81/x
  3. Step 3: Cross multiply
    897.09x = 1,238.04 × 597.81
  4. Step 4: Simplify right side
    897.09x = 740,117.34
  5. Step 5: Solve for x
    x = 740,117.34/897.09
  6. Step 6: Final answer
    x = 825.02

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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.