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Finding the Fourth Proportional to 1,154.48, 1,730.25 and 830.48

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Solution

The fourth proportional to 1,154.48, 1,730.25 and 830.48 is: 1,244.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.48 : 1,730.25 = 830.48 : x
  2. Step 2: Convert to fraction form
    1,154.48/1,730.25 = 830.48/x
  3. Step 3: Cross multiply
    1,154.48x = 1,730.25 × 830.48
  4. Step 4: Simplify right side
    1,154.48x = 1,436,938.02
  5. Step 5: Solve for x
    x = 1,436,938.02/1,154.48
  6. Step 6: Final answer
    x = 1,244.66

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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.