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Finding the Fourth Proportional to 1,289.36, 1,934.05 and 315.47

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Solution

The fourth proportional to 1,289.36, 1,934.05 and 315.47 is: 473.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,289.36 : 1,934.05 = 315.47 : x
  2. Step 2: Convert to fraction form
    1,289.36/1,934.05 = 315.47/x
  3. Step 3: Cross multiply
    1,289.36x = 1,934.05 × 315.47
  4. Step 4: Simplify right side
    1,289.36x = 610,128.51
  5. Step 5: Solve for x
    x = 610,128.51/1,289.36
  6. Step 6: Final answer
    x = 473.20

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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.