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Finding the Fourth Proportional to 702.59, 1,054.01 and 215.58

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Solution

The fourth proportional to 702.59, 1,054.01 and 215.58 is: 323.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.59 : 1,054.01 = 215.58 : x
  2. Step 2: Convert to fraction form
    702.59/1,054.01 = 215.58/x
  3. Step 3: Cross multiply
    702.59x = 1,054.01 × 215.58
  4. Step 4: Simplify right side
    702.59x = 227,222.40
  5. Step 5: Solve for x
    x = 227,222.40/702.59
  6. Step 6: Final answer
    x = 323.41

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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.