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Finding the Fourth Proportional to 583.94, 870.75 and 544.22

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Solution

The fourth proportional to 583.94, 870.75 and 544.22 is: 811.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.94 : 870.75 = 544.22 : x
  2. Step 2: Convert to fraction form
    583.94/870.75 = 544.22/x
  3. Step 3: Cross multiply
    583.94x = 870.75 × 544.22
  4. Step 4: Simplify right side
    583.94x = 473,876.84
  5. Step 5: Solve for x
    x = 473,876.84/583.94
  6. Step 6: Final answer
    x = 811.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.