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Finding the Fourth Proportional to 1,094.48, 1,641.90 and 364.10

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Solution

The fourth proportional to 1,094.48, 1,641.90 and 364.10 is: 546.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.48 : 1,641.90 = 364.10 : x
  2. Step 2: Convert to fraction form
    1,094.48/1,641.90 = 364.10/x
  3. Step 3: Cross multiply
    1,094.48x = 1,641.90 × 364.10
  4. Step 4: Simplify right side
    1,094.48x = 597,815.79
  5. Step 5: Solve for x
    x = 597,815.79/1,094.48
  6. Step 6: Final answer
    x = 546.21

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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.