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Finding the Fourth Proportional to 703.91, 1,055.88 and 431.69

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Solution

The fourth proportional to 703.91, 1,055.88 and 431.69 is: 647.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.91 : 1,055.88 = 431.69 : x
  2. Step 2: Convert to fraction form
    703.91/1,055.88 = 431.69/x
  3. Step 3: Cross multiply
    703.91x = 1,055.88 × 431.69
  4. Step 4: Simplify right side
    703.91x = 455,807.56
  5. Step 5: Solve for x
    x = 455,807.56/703.91
  6. Step 6: Final answer
    x = 647.53

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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.