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Finding the Fourth Proportional to 1,135.32, 1,566.68 and 638.04

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Solution

The fourth proportional to 1,135.32, 1,566.68 and 638.04 is: 880.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,135.32 : 1,566.68 = 638.04 : x
  2. Step 2: Convert to fraction form
    1,135.32/1,566.68 = 638.04/x
  3. Step 3: Cross multiply
    1,135.32x = 1,566.68 × 638.04
  4. Step 4: Simplify right side
    1,135.32x = 999,604.51
  5. Step 5: Solve for x
    x = 999,604.51/1,135.32
  6. Step 6: Final answer
    x = 880.46

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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.