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Finding the Fourth Proportional to 702.64, 1,054.10 and 394.84

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Solution

The fourth proportional to 702.64, 1,054.10 and 394.84 is: 592.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.64 : 1,054.10 = 394.84 : x
  2. Step 2: Convert to fraction form
    702.64/1,054.10 = 394.84/x
  3. Step 3: Cross multiply
    702.64x = 1,054.10 × 394.84
  4. Step 4: Simplify right side
    702.64x = 416,200.84
  5. Step 5: Solve for x
    x = 416,200.84/702.64
  6. Step 6: Final answer
    x = 592.34

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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.