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Finding the Fourth Proportional to 1,536.08, 2,304.44 and 510

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Solution

The fourth proportional to 1,536.08, 2,304.44 and 510 is: 765.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,536.08 : 2,304.44 = 510 : x
  2. Step 2: Convert to fraction form
    1,536.08/2,304.44 = 510/x
  3. Step 3: Cross multiply
    1,536.08x = 2,304.44 × 510
  4. Step 4: Simplify right side
    1,536.08x = 1,175,264.40
  5. Step 5: Solve for x
    x = 1,175,264.40/1,536.08
  6. Step 6: Final answer
    x = 765.11

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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.