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Finding the Fourth Proportional to 784.62, 1,083.06 and 470.10

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Solution

The fourth proportional to 784.62, 1,083.06 and 470.10 is: 648.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.62 : 1,083.06 = 470.10 : x
  2. Step 2: Convert to fraction form
    784.62/1,083.06 = 470.10/x
  3. Step 3: Cross multiply
    784.62x = 1,083.06 × 470.10
  4. Step 4: Simplify right side
    784.62x = 509,146.51
  5. Step 5: Solve for x
    x = 509,146.51/784.62
  6. Step 6: Final answer
    x = 648.91

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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.