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Finding the Fourth Proportional to 847.69, 1,169.75 and 469.58

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Solution

The fourth proportional to 847.69, 1,169.75 and 469.58 is: 647.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.69 : 1,169.75 = 469.58 : x
  2. Step 2: Convert to fraction form
    847.69/1,169.75 = 469.58/x
  3. Step 3: Cross multiply
    847.69x = 1,169.75 × 469.58
  4. Step 4: Simplify right side
    847.69x = 549,286.53
  5. Step 5: Solve for x
    x = 549,286.53/847.69
  6. Step 6: Final answer
    x = 647.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.