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Finding the Fourth Proportional to 970.46, 1,338.36 and 638.77

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Solution

The fourth proportional to 970.46, 1,338.36 and 638.77 is: 880.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.46 : 1,338.36 = 638.77 : x
  2. Step 2: Convert to fraction form
    970.46/1,338.36 = 638.77/x
  3. Step 3: Cross multiply
    970.46x = 1,338.36 × 638.77
  4. Step 4: Simplify right side
    970.46x = 854,904.22
  5. Step 5: Solve for x
    x = 854,904.22/970.46
  6. Step 6: Final answer
    x = 880.93

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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.