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Finding the Fourth Proportional to 1,134.55, 1,564.68 and 821.89

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Solution

The fourth proportional to 1,134.55, 1,564.68 and 821.89 is: 1,133.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,134.55 : 1,564.68 = 821.89 : x
  2. Step 2: Convert to fraction form
    1,134.55/1,564.68 = 821.89/x
  3. Step 3: Cross multiply
    1,134.55x = 1,564.68 × 821.89
  4. Step 4: Simplify right side
    1,134.55x = 1,285,994.85
  5. Step 5: Solve for x
    x = 1,285,994.85/1,134.55
  6. Step 6: Final answer
    x = 1,133.48

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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.