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Finding the Fourth Proportional to 917.96, 1,267.38 and 707.76

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Solution

The fourth proportional to 917.96, 1,267.38 and 707.76 is: 977.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.96 : 1,267.38 = 707.76 : x
  2. Step 2: Convert to fraction form
    917.96/1,267.38 = 707.76/x
  3. Step 3: Cross multiply
    917.96x = 1,267.38 × 707.76
  4. Step 4: Simplify right side
    917.96x = 897,000.87
  5. Step 5: Solve for x
    x = 897,000.87/917.96
  6. Step 6: Final answer
    x = 977.17

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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.