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Finding the Fourth Proportional to 1,135.19, 1,566.41 and 637.81

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Solution

The fourth proportional to 1,135.19, 1,566.41 and 637.81 is: 880.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,135.19 : 1,566.41 = 637.81 : x
  2. Step 2: Convert to fraction form
    1,135.19/1,566.41 = 637.81/x
  3. Step 3: Cross multiply
    1,135.19x = 1,566.41 × 637.81
  4. Step 4: Simplify right side
    1,135.19x = 999,064.86
  5. Step 5: Solve for x
    x = 999,064.86/1,135.19
  6. Step 6: Final answer
    x = 880.08

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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.