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Finding the Fourth Proportional to 702.89, 1,054.52 and 307.60

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Solution

The fourth proportional to 702.89, 1,054.52 and 307.60 is: 461.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.89 : 1,054.52 = 307.60 : x
  2. Step 2: Convert to fraction form
    702.89/1,054.52 = 307.60/x
  3. Step 3: Cross multiply
    702.89x = 1,054.52 × 307.60
  4. Step 4: Simplify right side
    702.89x = 324,373.76
  5. Step 5: Solve for x
    x = 324,373.76/702.89
  6. Step 6: Final answer
    x = 461.49

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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.