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Finding the Fourth Proportional to 1,089.60, 1,504.20 and 647.64

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Solution

The fourth proportional to 1,089.60, 1,504.20 and 647.64 is: 894.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089.60 : 1,504.20 = 647.64 : x
  2. Step 2: Convert to fraction form
    1,089.60/1,504.20 = 647.64/x
  3. Step 3: Cross multiply
    1,089.60x = 1,504.20 × 647.64
  4. Step 4: Simplify right side
    1,089.60x = 974,180.09
  5. Step 5: Solve for x
    x = 974,180.09/1,089.60
  6. Step 6: Final answer
    x = 894.07

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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.