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Finding the Fourth Proportional to 653, 900.34 and 512.68

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Solution

The fourth proportional to 653, 900.34 and 512.68 is: 706.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    653 : 900.34 = 512.68 : x
  2. Step 2: Convert to fraction form
    653/900.34 = 512.68/x
  3. Step 3: Cross multiply
    653x = 900.34 × 512.68
  4. Step 4: Simplify right side
    653x = 461,586.31
  5. Step 5: Solve for x
    x = 461,586.31/653
  6. Step 6: Final answer
    x = 706.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.