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Finding the Fourth Proportional to 1,109.73, 1,655.93 and 1,011.49

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Solution

The fourth proportional to 1,109.73, 1,655.93 and 1,011.49 is: 1,509.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.73 : 1,655.93 = 1,011.49 : x
  2. Step 2: Convert to fraction form
    1,109.73/1,655.93 = 1,011.49/x
  3. Step 3: Cross multiply
    1,109.73x = 1,655.93 × 1,011.49
  4. Step 4: Simplify right side
    1,109.73x = 1,674,956.64
  5. Step 5: Solve for x
    x = 1,674,956.64/1,109.73
  6. Step 6: Final answer
    x = 1,509.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.