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Finding the Fourth Proportional to 1,113.97, 1,673.98 and 594.33

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Solution

The fourth proportional to 1,113.97, 1,673.98 and 594.33 is: 893.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,113.97 : 1,673.98 = 594.33 : x
  2. Step 2: Convert to fraction form
    1,113.97/1,673.98 = 594.33/x
  3. Step 3: Cross multiply
    1,113.97x = 1,673.98 × 594.33
  4. Step 4: Simplify right side
    1,113.97x = 994,895.05
  5. Step 5: Solve for x
    x = 994,895.05/1,113.97
  6. Step 6: Final answer
    x = 893.11

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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.