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Finding the Fourth Proportional to 1,135.74, 1,567.71 and 785.82

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Solution

The fourth proportional to 1,135.74, 1,567.71 and 785.82 is: 1,084.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,135.74 : 1,567.71 = 785.82 : x
  2. Step 2: Convert to fraction form
    1,135.74/1,567.71 = 785.82/x
  3. Step 3: Cross multiply
    1,135.74x = 1,567.71 × 785.82
  4. Step 4: Simplify right side
    1,135.74x = 1,231,937.87
  5. Step 5: Solve for x
    x = 1,231,937.87/1,135.74
  6. Step 6: Final answer
    x = 1,084.70

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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.