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Finding the Fourth Proportional to 1,497.80, 2,066.98 and 834.70

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Solution

The fourth proportional to 1,497.80, 2,066.98 and 834.70 is: 1,151.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,497.80 : 2,066.98 = 834.70 : x
  2. Step 2: Convert to fraction form
    1,497.80/2,066.98 = 834.70/x
  3. Step 3: Cross multiply
    1,497.80x = 2,066.98 × 834.70
  4. Step 4: Simplify right side
    1,497.80x = 1,725,308.21
  5. Step 5: Solve for x
    x = 1,725,308.21/1,497.80
  6. Step 6: Final answer
    x = 1,151.89

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1.5x scale

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.