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Finding the Fourth Proportional to 1,114.45, 1,671.18 and 594.36

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Solution

The fourth proportional to 1,114.45, 1,671.18 and 594.36 is: 891.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114.45 : 1,671.18 = 594.36 : x
  2. Step 2: Convert to fraction form
    1,114.45/1,671.18 = 594.36/x
  3. Step 3: Cross multiply
    1,114.45x = 1,671.18 × 594.36
  4. Step 4: Simplify right side
    1,114.45x = 993,275.67
  5. Step 5: Solve for x
    x = 993,275.67/1,114.45
  6. Step 6: Final answer
    x = 891.27

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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.