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Finding the Fourth Proportional to 1,514.84, 2,271.68 and 577.40

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Solution

The fourth proportional to 1,514.84, 2,271.68 and 577.40 is: 865.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,514.84 : 2,271.68 = 577.40 : x
  2. Step 2: Convert to fraction form
    1,514.84/2,271.68 = 577.40/x
  3. Step 3: Cross multiply
    1,514.84x = 2,271.68 × 577.40
  4. Step 4: Simplify right side
    1,514.84x = 1,311,668.03
  5. Step 5: Solve for x
    x = 1,311,668.03/1,514.84
  6. Step 6: Final answer
    x = 865.88

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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.