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Finding the Fourth Proportional to 1,534.71, 2,301.84 and 494.57

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Solution

The fourth proportional to 1,534.71, 2,301.84 and 494.57 is: 741.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,534.71 : 2,301.84 = 494.57 : x
  2. Step 2: Convert to fraction form
    1,534.71/2,301.84 = 494.57/x
  3. Step 3: Cross multiply
    1,534.71x = 2,301.84 × 494.57
  4. Step 4: Simplify right side
    1,534.71x = 1,138,409.50
  5. Step 5: Solve for x
    x = 1,138,409.50/1,534.71
  6. Step 6: Final answer
    x = 741.77

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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.