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Finding the Fourth Proportional to 1,117.64, 1,673.22 and 683.48

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Solution

The fourth proportional to 1,117.64, 1,673.22 and 683.48 is: 1,023.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,117.64 : 1,673.22 = 683.48 : x
  2. Step 2: Convert to fraction form
    1,117.64/1,673.22 = 683.48/x
  3. Step 3: Cross multiply
    1,117.64x = 1,673.22 × 683.48
  4. Step 4: Simplify right side
    1,117.64x = 1,143,612.41
  5. Step 5: Solve for x
    x = 1,143,612.41/1,117.64
  6. Step 6: Final answer
    x = 1,023.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.