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Finding the Fourth Proportional to 645.34, 889.86 and 497.65

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Solution

The fourth proportional to 645.34, 889.86 and 497.65 is: 686.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.34 : 889.86 = 497.65 : x
  2. Step 2: Convert to fraction form
    645.34/889.86 = 497.65/x
  3. Step 3: Cross multiply
    645.34x = 889.86 × 497.65
  4. Step 4: Simplify right side
    645.34x = 442,838.83
  5. Step 5: Solve for x
    x = 442,838.83/645.34
  6. Step 6: Final answer
    x = 686.21

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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.