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Finding the Fourth Proportional to 917.14, 1,265.67 and 497.51

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Solution

The fourth proportional to 917.14, 1,265.67 and 497.51 is: 686.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.14 : 1,265.67 = 497.51 : x
  2. Step 2: Convert to fraction form
    917.14/1,265.67 = 497.51/x
  3. Step 3: Cross multiply
    917.14x = 1,265.67 × 497.51
  4. Step 4: Simplify right side
    917.14x = 629,674.67
  5. Step 5: Solve for x
    x = 629,674.67/917.14
  6. Step 6: Final answer
    x = 686.57

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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.