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Finding the Fourth Proportional to 1,125.47, 1,553.10 and 830.63

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Solution

The fourth proportional to 1,125.47, 1,553.10 and 830.63 is: 1,146.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,125.47 : 1,553.10 = 830.63 : x
  2. Step 2: Convert to fraction form
    1,125.47/1,553.10 = 830.63/x
  3. Step 3: Cross multiply
    1,125.47x = 1,553.10 × 830.63
  4. Step 4: Simplify right side
    1,125.47x = 1,290,051.45
  5. Step 5: Solve for x
    x = 1,290,051.45/1,125.47
  6. Step 6: Final answer
    x = 1,146.23

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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.