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Finding the Fourth Proportional to 702.78, 1,058.93 and 583.71

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Solution

The fourth proportional to 702.78, 1,058.93 and 583.71 is: 879.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.78 : 1,058.93 = 583.71 : x
  2. Step 2: Convert to fraction form
    702.78/1,058.93 = 583.71/x
  3. Step 3: Cross multiply
    702.78x = 1,058.93 × 583.71
  4. Step 4: Simplify right side
    702.78x = 618,105.11
  5. Step 5: Solve for x
    x = 618,105.11/702.78
  6. Step 6: Final answer
    x = 879.51

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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.