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Finding the Fourth Proportional to 1,135.50, 1,566.59 and 638.07

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Solution

The fourth proportional to 1,135.50, 1,566.59 and 638.07 is: 880.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,135.50 : 1,566.59 = 638.07 : x
  2. Step 2: Convert to fraction form
    1,135.50/1,566.59 = 638.07/x
  3. Step 3: Cross multiply
    1,135.50x = 1,566.59 × 638.07
  4. Step 4: Simplify right side
    1,135.50x = 999,594.08
  5. Step 5: Solve for x
    x = 999,594.08/1,135.50
  6. Step 6: Final answer
    x = 880.31

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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.