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Finding the Fourth Proportional to 917.14, 1,264.68 and 693.59

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Solution

The fourth proportional to 917.14, 1,264.68 and 693.59 is: 956.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.14 : 1,264.68 = 693.59 : x
  2. Step 2: Convert to fraction form
    917.14/1,264.68 = 693.59/x
  3. Step 3: Cross multiply
    917.14x = 1,264.68 × 693.59
  4. Step 4: Simplify right side
    917.14x = 877,169.40
  5. Step 5: Solve for x
    x = 877,169.40/917.14
  6. Step 6: Final answer
    x = 956.42

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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.