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Finding the Fourth Proportional to 1,113.84, 1,673.79 and 594.21

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Solution

The fourth proportional to 1,113.84, 1,673.79 and 594.21 is: 892.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,113.84 : 1,673.79 = 594.21 : x
  2. Step 2: Convert to fraction form
    1,113.84/1,673.79 = 594.21/x
  3. Step 3: Cross multiply
    1,113.84x = 1,673.79 × 594.21
  4. Step 4: Simplify right side
    1,113.84x = 994,582.76
  5. Step 5: Solve for x
    x = 994,582.76/1,113.84
  6. Step 6: Final answer
    x = 892.93

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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.