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Finding the Fourth Proportional to 1,135.57, 1,566.63 and 715.78

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Solution

The fourth proportional to 1,135.57, 1,566.63 and 715.78 is: 987.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,135.57 : 1,566.63 = 715.78 : x
  2. Step 2: Convert to fraction form
    1,135.57/1,566.63 = 715.78/x
  3. Step 3: Cross multiply
    1,135.57x = 1,566.63 × 715.78
  4. Step 4: Simplify right side
    1,135.57x = 1,121,362.42
  5. Step 5: Solve for x
    x = 1,121,362.42/1,135.57
  6. Step 6: Final answer
    x = 987.49

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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.