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Finding the Fourth Proportional to 848.92, 1,171.53 and 470.81

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Solution

The fourth proportional to 848.92, 1,171.53 and 470.81 is: 649.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    848.92 : 1,171.53 = 470.81 : x
  2. Step 2: Convert to fraction form
    848.92/1,171.53 = 470.81/x
  3. Step 3: Cross multiply
    848.92x = 1,171.53 × 470.81
  4. Step 4: Simplify right side
    848.92x = 551,562.18
  5. Step 5: Solve for x
    x = 551,562.18/848.92
  6. Step 6: Final answer
    x = 649.72

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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.