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Finding the Fourth Proportional to 1,287.80, 1,931.70 and 313.89

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Solution

The fourth proportional to 1,287.80, 1,931.70 and 313.89 is: 470.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,287.80 : 1,931.70 = 313.89 : x
  2. Step 2: Convert to fraction form
    1,287.80/1,931.70 = 313.89/x
  3. Step 3: Cross multiply
    1,287.80x = 1,931.70 × 313.89
  4. Step 4: Simplify right side
    1,287.80x = 606,341.31
  5. Step 5: Solve for x
    x = 606,341.31/1,287.80
  6. Step 6: Final answer
    x = 470.84

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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.