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Finding the Fourth Proportional to 707.64, 976.74 and 497.86

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Solution

The fourth proportional to 707.64, 976.74 and 497.86 is: 687.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.64 : 976.74 = 497.86 : x
  2. Step 2: Convert to fraction form
    707.64/976.74 = 497.86/x
  3. Step 3: Cross multiply
    707.64x = 976.74 × 497.86
  4. Step 4: Simplify right side
    707.64x = 486,279.78
  5. Step 5: Solve for x
    x = 486,279.78/707.64
  6. Step 6: Final answer
    x = 687.19

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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.