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Finding the Fourth Proportional to 1,094.69, 1,642.10 and 314.66

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Solution

The fourth proportional to 1,094.69, 1,642.10 and 314.66 is: 472.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.69 : 1,642.10 = 314.66 : x
  2. Step 2: Convert to fraction form
    1,094.69/1,642.10 = 314.66/x
  3. Step 3: Cross multiply
    1,094.69x = 1,642.10 × 314.66
  4. Step 4: Simplify right side
    1,094.69x = 516,693.40
  5. Step 5: Solve for x
    x = 516,693.40/1,094.69
  6. Step 6: Final answer
    x = 472.00

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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.