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Finding the Fourth Proportional to 1,110.15, 1,658.49 and 716.94

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Solution

The fourth proportional to 1,110.15, 1,658.49 and 716.94 is: 1,071.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,110.15 : 1,658.49 = 716.94 : x
  2. Step 2: Convert to fraction form
    1,110.15/1,658.49 = 716.94/x
  3. Step 3: Cross multiply
    1,110.15x = 1,658.49 × 716.94
  4. Step 4: Simplify right side
    1,110.15x = 1,189,037.82
  5. Step 5: Solve for x
    x = 1,189,037.82/1,110.15
  6. Step 6: Final answer
    x = 1,071.06

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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.