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Finding the Fourth Proportional to 1,536.83, 2,304.67 and 497.10

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Solution

The fourth proportional to 1,536.83, 2,304.67 and 497.10 is: 745.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,536.83 : 2,304.67 = 497.10 : x
  2. Step 2: Convert to fraction form
    1,536.83/2,304.67 = 497.10/x
  3. Step 3: Cross multiply
    1,536.83x = 2,304.67 × 497.10
  4. Step 4: Simplify right side
    1,536.83x = 1,145,651.46
  5. Step 5: Solve for x
    x = 1,145,651.46/1,536.83
  6. Step 6: Final answer
    x = 745.46

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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.