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Finding the Fourth Proportional to 1,536.48, 2,305.52 and 715.35

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Solution

The fourth proportional to 1,536.48, 2,305.52 and 715.35 is: 1,073.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,536.48 : 2,305.52 = 715.35 : x
  2. Step 2: Convert to fraction form
    1,536.48/2,305.52 = 715.35/x
  3. Step 3: Cross multiply
    1,536.48x = 2,305.52 × 715.35
  4. Step 4: Simplify right side
    1,536.48x = 1,649,253.73
  5. Step 5: Solve for x
    x = 1,649,253.73/1,536.48
  6. Step 6: Final answer
    x = 1,073.40

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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.