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Finding the Fourth Proportional to 1,428, 1,970.88 and 806.88

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Solution

The fourth proportional to 1,428, 1,970.88 and 806.88 is: 1,113.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,428 : 1,970.88 = 806.88 : x
  2. Step 2: Convert to fraction form
    1,428/1,970.88 = 806.88/x
  3. Step 3: Cross multiply
    1,428x = 1,970.88 × 806.88
  4. Step 4: Simplify right side
    1,428x = 1,590,263.65
  5. Step 5: Solve for x
    x = 1,590,263.65/1,428
  6. Step 6: Final answer
    x = 1,113.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.