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Finding the Fourth Proportional to 980.10, 1,470.06 and 493.47

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Solution

The fourth proportional to 980.10, 1,470.06 and 493.47 is: 740.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    980.10 : 1,470.06 = 493.47 : x
  2. Step 2: Convert to fraction form
    980.10/1,470.06 = 493.47/x
  3. Step 3: Cross multiply
    980.10x = 1,470.06 × 493.47
  4. Step 4: Simplify right side
    980.10x = 725,430.51
  5. Step 5: Solve for x
    x = 725,430.51/980.10
  6. Step 6: Final answer
    x = 740.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.