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Finding the Fourth Proportional to 651.10, 897.48 and 500.03

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Solution

The fourth proportional to 651.10, 897.48 and 500.03 is: 689.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.10 : 897.48 = 500.03 : x
  2. Step 2: Convert to fraction form
    651.10/897.48 = 500.03/x
  3. Step 3: Cross multiply
    651.10x = 897.48 × 500.03
  4. Step 4: Simplify right side
    651.10x = 448,766.92
  5. Step 5: Solve for x
    x = 448,766.92/651.10
  6. Step 6: Final answer
    x = 689.24

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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.