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Finding the Fourth Proportional to 703.61, 1,054.75 and 292.48

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Solution

The fourth proportional to 703.61, 1,054.75 and 292.48 is: 438.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.61 : 1,054.75 = 292.48 : x
  2. Step 2: Convert to fraction form
    703.61/1,054.75 = 292.48/x
  3. Step 3: Cross multiply
    703.61x = 1,054.75 × 292.48
  4. Step 4: Simplify right side
    703.61x = 308,493.28
  5. Step 5: Solve for x
    x = 308,493.28/703.61
  6. Step 6: Final answer
    x = 438.45

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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.