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Finding the Fourth Proportional to 1,329.13, 1,994.60 and 598.74

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Solution

The fourth proportional to 1,329.13, 1,994.60 and 598.74 is: 898.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,329.13 : 1,994.60 = 598.74 : x
  2. Step 2: Convert to fraction form
    1,329.13/1,994.60 = 598.74/x
  3. Step 3: Cross multiply
    1,329.13x = 1,994.60 × 598.74
  4. Step 4: Simplify right side
    1,329.13x = 1,194,246.80
  5. Step 5: Solve for x
    x = 1,194,246.80/1,329.13
  6. Step 6: Final answer
    x = 898.52

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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.