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Finding the Fourth Proportional to 703.72, 1,055.58 and 459.88

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Solution

The fourth proportional to 703.72, 1,055.58 and 459.88 is: 689.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.72 : 1,055.58 = 459.88 : x
  2. Step 2: Convert to fraction form
    703.72/1,055.58 = 459.88/x
  3. Step 3: Cross multiply
    703.72x = 1,055.58 × 459.88
  4. Step 4: Simplify right side
    703.72x = 485,440.13
  5. Step 5: Solve for x
    x = 485,440.13/703.72
  6. Step 6: Final answer
    x = 689.82

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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.