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Finding the Fourth Proportional to 703.21, 1,054.04 and 292.13

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Solution

The fourth proportional to 703.21, 1,054.04 and 292.13 is: 437.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.21 : 1,054.04 = 292.13 : x
  2. Step 2: Convert to fraction form
    703.21/1,054.04 = 292.13/x
  3. Step 3: Cross multiply
    703.21x = 1,054.04 × 292.13
  4. Step 4: Simplify right side
    703.21x = 307,915.24
  5. Step 5: Solve for x
    x = 307,915.24/703.21
  6. Step 6: Final answer
    x = 437.87

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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.