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Finding the Fourth Proportional to 1,287.95, 1,931.89 and 314.05

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Solution

The fourth proportional to 1,287.95, 1,931.89 and 314.05 is: 471.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,287.95 : 1,931.89 = 314.05 : x
  2. Step 2: Convert to fraction form
    1,287.95/1,931.89 = 314.05/x
  3. Step 3: Cross multiply
    1,287.95x = 1,931.89 × 314.05
  4. Step 4: Simplify right side
    1,287.95x = 606,710.05
  5. Step 5: Solve for x
    x = 606,710.05/1,287.95
  6. Step 6: Final answer
    x = 471.07

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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.