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Finding the Fourth Proportional to 1,125.69, 1,553.21 and 705.84

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Solution

The fourth proportional to 1,125.69, 1,553.21 and 705.84 is: 973.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,125.69 : 1,553.21 = 705.84 : x
  2. Step 2: Convert to fraction form
    1,125.69/1,553.21 = 705.84/x
  3. Step 3: Cross multiply
    1,125.69x = 1,553.21 × 705.84
  4. Step 4: Simplify right side
    1,125.69x = 1,096,306.45
  5. Step 5: Solve for x
    x = 1,096,306.45/1,125.69
  6. Step 6: Final answer
    x = 973.90

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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.