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Finding the Fourth Proportional to 657.21, 979.28 and 584.51

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Solution

The fourth proportional to 657.21, 979.28 and 584.51 is: 870.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.21 : 979.28 = 584.51 : x
  2. Step 2: Convert to fraction form
    657.21/979.28 = 584.51/x
  3. Step 3: Cross multiply
    657.21x = 979.28 × 584.51
  4. Step 4: Simplify right side
    657.21x = 572,399.17
  5. Step 5: Solve for x
    x = 572,399.17/657.21
  6. Step 6: Final answer
    x = 870.95

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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.