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Finding the Fourth Proportional to 1,664.03, 2,495.76 and 494.02

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Solution

The fourth proportional to 1,664.03, 2,495.76 and 494.02 is: 740.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,664.03 : 2,495.76 = 494.02 : x
  2. Step 2: Convert to fraction form
    1,664.03/2,495.76 = 494.02/x
  3. Step 3: Cross multiply
    1,664.03x = 2,495.76 × 494.02
  4. Step 4: Simplify right side
    1,664.03x = 1,232,955.36
  5. Step 5: Solve for x
    x = 1,232,955.36/1,664.03
  6. Step 6: Final answer
    x = 740.95

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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.