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Finding the Fourth Proportional to 917.96, 1,377.56 and 701.76

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Solution

The fourth proportional to 917.96, 1,377.56 and 701.76 is: 1,053.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.96 : 1,377.56 = 701.76 : x
  2. Step 2: Convert to fraction form
    917.96/1,377.56 = 701.76/x
  3. Step 3: Cross multiply
    917.96x = 1,377.56 × 701.76
  4. Step 4: Simplify right side
    917.96x = 966,716.51
  5. Step 5: Solve for x
    x = 966,716.51/917.96
  6. Step 6: Final answer
    x = 1,053.11

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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.