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Finding the Fourth Proportional to 583.63, 880.92 and 583.63

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Solution

The fourth proportional to 583.63, 880.92 and 583.63 is: 880.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.63 : 880.92 = 583.63 : x
  2. Step 2: Convert to fraction form
    583.63/880.92 = 583.63/x
  3. Step 3: Cross multiply
    583.63x = 880.92 × 583.63
  4. Step 4: Simplify right side
    583.63x = 514,129.14
  5. Step 5: Solve for x
    x = 514,129.14/583.63
  6. Step 6: Final answer
    x = 880.92

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.