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Finding the Fourth Proportional to 1,497.60, 2,066.72 and 834.53

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Solution

The fourth proportional to 1,497.60, 2,066.72 and 834.53 is: 1,151.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,497.60 : 2,066.72 = 834.53 : x
  2. Step 2: Convert to fraction form
    1,497.60/2,066.72 = 834.53/x
  3. Step 3: Cross multiply
    1,497.60x = 2,066.72 × 834.53
  4. Step 4: Simplify right side
    1,497.60x = 1,724,725.34
  5. Step 5: Solve for x
    x = 1,724,725.34/1,497.60
  6. Step 6: Final answer
    x = 1,151.66

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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.