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Finding the Fourth Proportional to 1,337.49, 2,006.52 and 459.93

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Solution

The fourth proportional to 1,337.49, 2,006.52 and 459.93 is: 689.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,337.49 : 2,006.52 = 459.93 : x
  2. Step 2: Convert to fraction form
    1,337.49/2,006.52 = 459.93/x
  3. Step 3: Cross multiply
    1,337.49x = 2,006.52 × 459.93
  4. Step 4: Simplify right side
    1,337.49x = 922,858.74
  5. Step 5: Solve for x
    x = 922,858.74/1,337.49
  6. Step 6: Final answer
    x = 689.99

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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.