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Finding the Fourth Proportional to 980.98, 1,470.48 and 433.07

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Solution

The fourth proportional to 980.98, 1,470.48 and 433.07 is: 649.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    980.98 : 1,470.48 = 433.07 : x
  2. Step 2: Convert to fraction form
    980.98/1,470.48 = 433.07/x
  3. Step 3: Cross multiply
    980.98x = 1,470.48 × 433.07
  4. Step 4: Simplify right side
    980.98x = 636,813.42
  5. Step 5: Solve for x
    x = 636,813.42/980.98
  6. Step 6: Final answer
    x = 649.16

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Double scale
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1.5x scale

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.