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Finding the Fourth Proportional to 1,009.04, 1,392.46 and 566.98

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Solution

The fourth proportional to 1,009.04, 1,392.46 and 566.98 is: 782.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009.04 : 1,392.46 = 566.98 : x
  2. Step 2: Convert to fraction form
    1,009.04/1,392.46 = 566.98/x
  3. Step 3: Cross multiply
    1,009.04x = 1,392.46 × 566.98
  4. Step 4: Simplify right side
    1,009.04x = 789,492.07
  5. Step 5: Solve for x
    x = 789,492.07/1,009.04
  6. Step 6: Final answer
    x = 782.42

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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.