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Finding the Fourth Proportional to 784.98, 1,083.30 and 470.29

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Solution

The fourth proportional to 784.98, 1,083.30 and 470.29 is: 649.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.98 : 1,083.30 = 470.29 : x
  2. Step 2: Convert to fraction form
    784.98/1,083.30 = 470.29/x
  3. Step 3: Cross multiply
    784.98x = 1,083.30 × 470.29
  4. Step 4: Simplify right side
    784.98x = 509,465.16
  5. Step 5: Solve for x
    x = 509,465.16/784.98
  6. Step 6: Final answer
    x = 649.02

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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.