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Finding the Fourth Proportional to 703.54, 1,055.04 and 486.46

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Solution

The fourth proportional to 703.54, 1,055.04 and 486.46 is: 729.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.54 : 1,055.04 = 486.46 : x
  2. Step 2: Convert to fraction form
    703.54/1,055.04 = 486.46/x
  3. Step 3: Cross multiply
    703.54x = 1,055.04 × 486.46
  4. Step 4: Simplify right side
    703.54x = 513,234.76
  5. Step 5: Solve for x
    x = 513,234.76/703.54
  6. Step 6: Final answer
    x = 729.50

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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.