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Finding the Fourth Proportional to 1,534.91, 2,302.13 and 494.77

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Solution

The fourth proportional to 1,534.91, 2,302.13 and 494.77 is: 742.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,534.91 : 2,302.13 = 494.77 : x
  2. Step 2: Convert to fraction form
    1,534.91/2,302.13 = 494.77/x
  3. Step 3: Cross multiply
    1,534.91x = 2,302.13 × 494.77
  4. Step 4: Simplify right side
    1,534.91x = 1,139,024.86
  5. Step 5: Solve for x
    x = 1,139,024.86/1,534.91
  6. Step 6: Final answer
    x = 742.08

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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.