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Finding the Fourth Proportional to 784.86, 1,083.15 and 470.22

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Solution

The fourth proportional to 784.86, 1,083.15 and 470.22 is: 648.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.86 : 1,083.15 = 470.22 : x
  2. Step 2: Convert to fraction form
    784.86/1,083.15 = 470.22/x
  3. Step 3: Cross multiply
    784.86x = 1,083.15 × 470.22
  4. Step 4: Simplify right side
    784.86x = 509,318.79
  5. Step 5: Solve for x
    x = 509,318.79/784.86
  6. Step 6: Final answer
    x = 648.93

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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.