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Finding the Fourth Proportional to 886.53, 1,223.43 and 583.59

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Solution

The fourth proportional to 886.53, 1,223.43 and 583.59 is: 805.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.53 : 1,223.43 = 583.59 : x
  2. Step 2: Convert to fraction form
    886.53/1,223.43 = 583.59/x
  3. Step 3: Cross multiply
    886.53x = 1,223.43 × 583.59
  4. Step 4: Simplify right side
    886.53x = 713,981.51
  5. Step 5: Solve for x
    x = 713,981.51/886.53
  6. Step 6: Final answer
    x = 805.37

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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.