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Finding the Fourth Proportional to 1,094.61, 1,642.47 and 546.75

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Solution

The fourth proportional to 1,094.61, 1,642.47 and 546.75 is: 820.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.61 : 1,642.47 = 546.75 : x
  2. Step 2: Convert to fraction form
    1,094.61/1,642.47 = 546.75/x
  3. Step 3: Cross multiply
    1,094.61x = 1,642.47 × 546.75
  4. Step 4: Simplify right side
    1,094.61x = 898,021.11
  5. Step 5: Solve for x
    x = 898,021.11/1,094.61
  6. Step 6: Final answer
    x = 820.40

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