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Finding the Fourth Proportional to 703.13, 1,053.98 and 292.49

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Solution

The fourth proportional to 703.13, 1,053.98 and 292.49 is: 438.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.13 : 1,053.98 = 292.49 : x
  2. Step 2: Convert to fraction form
    703.13/1,053.98 = 292.49/x
  3. Step 3: Cross multiply
    703.13x = 1,053.98 × 292.49
  4. Step 4: Simplify right side
    703.13x = 308,271.88
  5. Step 5: Solve for x
    x = 308,271.88/703.13
  6. Step 6: Final answer
    x = 438.43

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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.