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Finding the Fourth Proportional to 1,154.73, 1,732.02 and 971.80

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Solution

The fourth proportional to 1,154.73, 1,732.02 and 971.80 is: 1,457.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.73 : 1,732.02 = 971.80 : x
  2. Step 2: Convert to fraction form
    1,154.73/1,732.02 = 971.80/x
  3. Step 3: Cross multiply
    1,154.73x = 1,732.02 × 971.80
  4. Step 4: Simplify right side
    1,154.73x = 1,683,177.04
  5. Step 5: Solve for x
    x = 1,683,177.04/1,154.73
  6. Step 6: Final answer
    x = 1,457.64

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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.