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Finding the Fourth Proportional to 1,094.98, 1,642.56 and 364.36

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Solution

The fourth proportional to 1,094.98, 1,642.56 and 364.36 is: 546.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.98 : 1,642.56 = 364.36 : x
  2. Step 2: Convert to fraction form
    1,094.98/1,642.56 = 364.36/x
  3. Step 3: Cross multiply
    1,094.98x = 1,642.56 × 364.36
  4. Step 4: Simplify right side
    1,094.98x = 598,483.16
  5. Step 5: Solve for x
    x = 598,483.16/1,094.98
  6. Step 6: Final answer
    x = 546.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.