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Finding the Fourth Proportional to 1,135.31, 1,566.66 and 637.99

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Solution

The fourth proportional to 1,135.31, 1,566.66 and 637.99 is: 880.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,135.31 : 1,566.66 = 637.99 : x
  2. Step 2: Convert to fraction form
    1,135.31/1,566.66 = 637.99/x
  3. Step 3: Cross multiply
    1,135.31x = 1,566.66 × 637.99
  4. Step 4: Simplify right side
    1,135.31x = 999,513.41
  5. Step 5: Solve for x
    x = 999,513.41/1,135.31
  6. Step 6: Final answer
    x = 880.39

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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.