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Finding the Fourth Proportional to 707.64, 973.46 and 576.36

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Solution

The fourth proportional to 707.64, 973.46 and 576.36 is: 792.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.64 : 973.46 = 576.36 : x
  2. Step 2: Convert to fraction form
    707.64/973.46 = 576.36/x
  3. Step 3: Cross multiply
    707.64x = 973.46 × 576.36
  4. Step 4: Simplify right side
    707.64x = 561,063.41
  5. Step 5: Solve for x
    x = 561,063.41/707.64
  6. Step 6: Final answer
    x = 792.87

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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.