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Finding the Fourth Proportional to 703.58, 1,053.90 and 565.88

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Solution

The fourth proportional to 703.58, 1,053.90 and 565.88 is: 847.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.58 : 1,053.90 = 565.88 : x
  2. Step 2: Convert to fraction form
    703.58/1,053.90 = 565.88/x
  3. Step 3: Cross multiply
    703.58x = 1,053.90 × 565.88
  4. Step 4: Simplify right side
    703.58x = 596,380.93
  5. Step 5: Solve for x
    x = 596,380.93/703.58
  6. Step 6: Final answer
    x = 847.64

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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.