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Finding the Fourth Proportional to 848.42, 1,170.84 and 470.30

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Solution

The fourth proportional to 848.42, 1,170.84 and 470.30 is: 649.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    848.42 : 1,170.84 = 470.30 : x
  2. Step 2: Convert to fraction form
    848.42/1,170.84 = 470.30/x
  3. Step 3: Cross multiply
    848.42x = 1,170.84 × 470.30
  4. Step 4: Simplify right side
    848.42x = 550,648.98
  5. Step 5: Solve for x
    x = 550,648.98/848.42
  6. Step 6: Final answer
    x = 649.03

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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.