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Finding the Fourth Proportional to 897.08, 1,238.29 and 538.45

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Solution

The fourth proportional to 897.08, 1,238.29 and 538.45 is: 743.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.08 : 1,238.29 = 538.45 : x
  2. Step 2: Convert to fraction form
    897.08/1,238.29 = 538.45/x
  3. Step 3: Cross multiply
    897.08x = 1,238.29 × 538.45
  4. Step 4: Simplify right side
    897.08x = 666,752.81
  5. Step 5: Solve for x
    x = 666,752.81/897.08
  6. Step 6: Final answer
    x = 743.25

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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.