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Finding the Fourth Proportional to 710.33, 1,066.86 and 629.87

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Solution

The fourth proportional to 710.33, 1,066.86 and 629.87 is: 946.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.33 : 1,066.86 = 629.87 : x
  2. Step 2: Convert to fraction form
    710.33/1,066.86 = 629.87/x
  3. Step 3: Cross multiply
    710.33x = 1,066.86 × 629.87
  4. Step 4: Simplify right side
    710.33x = 671,977.77
  5. Step 5: Solve for x
    x = 671,977.77/710.33
  6. Step 6: Final answer
    x = 946.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.