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Finding the Fourth Proportional to 651.62, 898.63 and 509.85

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Solution

The fourth proportional to 651.62, 898.63 and 509.85 is: 703.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.62 : 898.63 = 509.85 : x
  2. Step 2: Convert to fraction form
    651.62/898.63 = 509.85/x
  3. Step 3: Cross multiply
    651.62x = 898.63 × 509.85
  4. Step 4: Simplify right side
    651.62x = 458,166.51
  5. Step 5: Solve for x
    x = 458,166.51/651.62
  6. Step 6: Final answer
    x = 703.12

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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.