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Finding the Fourth Proportional to 707.64, 977.11 and 458.87

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Solution

The fourth proportional to 707.64, 977.11 and 458.87 is: 633.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.64 : 977.11 = 458.87 : x
  2. Step 2: Convert to fraction form
    707.64/977.11 = 458.87/x
  3. Step 3: Cross multiply
    707.64x = 977.11 × 458.87
  4. Step 4: Simplify right side
    707.64x = 448,363.01
  5. Step 5: Solve for x
    x = 448,363.01/707.64
  6. Step 6: Final answer
    x = 633.61

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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.