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Finding the Fourth Proportional to 651.42, 898.47 and 511.74

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Solution

The fourth proportional to 651.42, 898.47 and 511.74 is: 705.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.42 : 898.47 = 511.74 : x
  2. Step 2: Convert to fraction form
    651.42/898.47 = 511.74/x
  3. Step 3: Cross multiply
    651.42x = 898.47 × 511.74
  4. Step 4: Simplify right side
    651.42x = 459,783.04
  5. Step 5: Solve for x
    x = 459,783.04/651.42
  6. Step 6: Final answer
    x = 705.82

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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.