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Finding the Fourth Proportional to 702.84, 1,059.01 and 583.77

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Solution

The fourth proportional to 702.84, 1,059.01 and 583.77 is: 879.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.84 : 1,059.01 = 583.77 : x
  2. Step 2: Convert to fraction form
    702.84/1,059.01 = 583.77/x
  3. Step 3: Cross multiply
    702.84x = 1,059.01 × 583.77
  4. Step 4: Simplify right side
    702.84x = 618,218.27
  5. Step 5: Solve for x
    x = 618,218.27/702.84
  6. Step 6: Final answer
    x = 879.60

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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.