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Finding the Fourth Proportional to 1,135.13, 1,566.53 and 637.82

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Solution

The fourth proportional to 1,135.13, 1,566.53 and 637.82 is: 880.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,135.13 : 1,566.53 = 637.82 : x
  2. Step 2: Convert to fraction form
    1,135.13/1,566.53 = 637.82/x
  3. Step 3: Cross multiply
    1,135.13x = 1,566.53 × 637.82
  4. Step 4: Simplify right side
    1,135.13x = 999,157.93
  5. Step 5: Solve for x
    x = 999,157.93/1,135.13
  6. Step 6: Final answer
    x = 880.21

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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.