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Finding the Fourth Proportional to 656.70, 930.93 and 656.70

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Solution

The fourth proportional to 656.70, 930.93 and 656.70 is: 930.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.70 : 930.93 = 656.70 : x
  2. Step 2: Convert to fraction form
    656.70/930.93 = 656.70/x
  3. Step 3: Cross multiply
    656.70x = 930.93 × 656.70
  4. Step 4: Simplify right side
    656.70x = 611,341.73
  5. Step 5: Solve for x
    x = 611,341.73/656.70
  6. Step 6: Final answer
    x = 930.93

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.