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Finding the Fourth Proportional to 1,110.35, 1,532.58 and 717.64

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Solution

The fourth proportional to 1,110.35, 1,532.58 and 717.64 is: 990.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,110.35 : 1,532.58 = 717.64 : x
  2. Step 2: Convert to fraction form
    1,110.35/1,532.58 = 717.64/x
  3. Step 3: Cross multiply
    1,110.35x = 1,532.58 × 717.64
  4. Step 4: Simplify right side
    1,110.35x = 1,099,840.71
  5. Step 5: Solve for x
    x = 1,099,840.71/1,110.35
  6. Step 6: Final answer
    x = 990.54

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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.