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Finding the Fourth Proportional to 702.63, 1,054.60 and 356.21

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Solution

The fourth proportional to 702.63, 1,054.60 and 356.21 is: 534.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.63 : 1,054.60 = 356.21 : x
  2. Step 2: Convert to fraction form
    702.63/1,054.60 = 356.21/x
  3. Step 3: Cross multiply
    702.63x = 1,054.60 × 356.21
  4. Step 4: Simplify right side
    702.63x = 375,659.07
  5. Step 5: Solve for x
    x = 375,659.07/702.63
  6. Step 6: Final answer
    x = 534.65

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