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Finding the Fourth Proportional to 848.32, 1,170.61 and 470.22

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Solution

The fourth proportional to 848.32, 1,170.61 and 470.22 is: 648.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    848.32 : 1,170.61 = 470.22 : x
  2. Step 2: Convert to fraction form
    848.32/1,170.61 = 470.22/x
  3. Step 3: Cross multiply
    848.32x = 1,170.61 × 470.22
  4. Step 4: Simplify right side
    848.32x = 550,444.23
  5. Step 5: Solve for x
    x = 550,444.23/848.32
  6. Step 6: Final answer
    x = 648.86

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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.