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Finding the Fourth Proportional to 1,135.35, 1,566.27 and 715.41

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Solution

The fourth proportional to 1,135.35, 1,566.27 and 715.41 is: 986.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,135.35 : 1,566.27 = 715.41 : x
  2. Step 2: Convert to fraction form
    1,135.35/1,566.27 = 715.41/x
  3. Step 3: Cross multiply
    1,135.35x = 1,566.27 × 715.41
  4. Step 4: Simplify right side
    1,135.35x = 1,120,525.22
  5. Step 5: Solve for x
    x = 1,120,525.22/1,135.35
  6. Step 6: Final answer
    x = 986.94

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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.