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Finding the Fourth Proportional to 702.83, 1,054.16 and 263.98

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Solution

The fourth proportional to 702.83, 1,054.16 and 263.98 is: 395.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.83 : 1,054.16 = 263.98 : x
  2. Step 2: Convert to fraction form
    702.83/1,054.16 = 263.98/x
  3. Step 3: Cross multiply
    702.83x = 1,054.16 × 263.98
  4. Step 4: Simplify right side
    702.83x = 278,282.59
  5. Step 5: Solve for x
    x = 278,282.59/702.83
  6. Step 6: Final answer
    x = 395.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.