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Finding the Fourth Proportional to 710.96, 1,066.35 and 436.57

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Solution

The fourth proportional to 710.96, 1,066.35 and 436.57 is: 654.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.96 : 1,066.35 = 436.57 : x
  2. Step 2: Convert to fraction form
    710.96/1,066.35 = 436.57/x
  3. Step 3: Cross multiply
    710.96x = 1,066.35 × 436.57
  4. Step 4: Simplify right side
    710.96x = 465,531.09
  5. Step 5: Solve for x
    x = 465,531.09/710.96
  6. Step 6: Final answer
    x = 654.79

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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.