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Finding the Fourth Proportional to 703.93, 970.87 and 656.77

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Solution

The fourth proportional to 703.93, 970.87 and 656.77 is: 905.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.93 : 970.87 = 656.77 : x
  2. Step 2: Convert to fraction form
    703.93/970.87 = 656.77/x
  3. Step 3: Cross multiply
    703.93x = 970.87 × 656.77
  4. Step 4: Simplify right side
    703.93x = 637,635.01
  5. Step 5: Solve for x
    x = 637,635.01/703.93
  6. Step 6: Final answer
    x = 905.82

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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.