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Finding the Fourth Proportional to 1,316.00, 1,974.07 and 494.25

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Solution

The fourth proportional to 1,316.00, 1,974.07 and 494.25 is: 741.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,316.00 : 1,974.07 = 494.25 : x
  2. Step 2: Convert to fraction form
    1,316.00/1,974.07 = 494.25/x
  3. Step 3: Cross multiply
    1,316.00x = 1,974.07 × 494.25
  4. Step 4: Simplify right side
    1,316.00x = 975,688.42
  5. Step 5: Solve for x
    x = 975,688.42/1,316.00
  6. Step 6: Final answer
    x = 741.41

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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.