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Finding the Fourth Proportional to 1,514.77, 2,271.94 and 474.53

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Solution

The fourth proportional to 1,514.77, 2,271.94 and 474.53 is: 711.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,514.77 : 2,271.94 = 474.53 : x
  2. Step 2: Convert to fraction form
    1,514.77/2,271.94 = 474.53/x
  3. Step 3: Cross multiply
    1,514.77x = 2,271.94 × 474.53
  4. Step 4: Simplify right side
    1,514.77x = 1,078,091.14
  5. Step 5: Solve for x
    x = 1,078,091.14/1,514.77
  6. Step 6: Final answer
    x = 711.72

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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.