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Finding the Fourth Proportional to 651.63, 897.24 and 509.49

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Solution

The fourth proportional to 651.63, 897.24 and 509.49 is: 701.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.63 : 897.24 = 509.49 : x
  2. Step 2: Convert to fraction form
    651.63/897.24 = 509.49/x
  3. Step 3: Cross multiply
    651.63x = 897.24 × 509.49
  4. Step 4: Simplify right side
    651.63x = 457,134.81
  5. Step 5: Solve for x
    x = 457,134.81/651.63
  6. Step 6: Final answer
    x = 701.53

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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.