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Finding the Fourth Proportional to 656.88, 985.71 and 471.58

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Solution

The fourth proportional to 656.88, 985.71 and 471.58 is: 707.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.88 : 985.71 = 471.58 : x
  2. Step 2: Convert to fraction form
    656.88/985.71 = 471.58/x
  3. Step 3: Cross multiply
    656.88x = 985.71 × 471.58
  4. Step 4: Simplify right side
    656.88x = 464,840.92
  5. Step 5: Solve for x
    x = 464,840.92/656.88
  6. Step 6: Final answer
    x = 707.65

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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.