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Finding the Fourth Proportional to 903.02, 1,245.39 and 588.17

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Solution

The fourth proportional to 903.02, 1,245.39 and 588.17 is: 811.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.02 : 1,245.39 = 588.17 : x
  2. Step 2: Convert to fraction form
    903.02/1,245.39 = 588.17/x
  3. Step 3: Cross multiply
    903.02x = 1,245.39 × 588.17
  4. Step 4: Simplify right side
    903.02x = 732,501.04
  5. Step 5: Solve for x
    x = 732,501.04/903.02
  6. Step 6: Final answer
    x = 811.17

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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.