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Finding the Fourth Proportional to 1,428.76, 1,971.67 and 807.76

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Solution

The fourth proportional to 1,428.76, 1,971.67 and 807.76 is: 1,114.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,428.76 : 1,971.67 = 807.76 : x
  2. Step 2: Convert to fraction form
    1,428.76/1,971.67 = 807.76/x
  3. Step 3: Cross multiply
    1,428.76x = 1,971.67 × 807.76
  4. Step 4: Simplify right side
    1,428.76x = 1,592,636.16
  5. Step 5: Solve for x
    x = 1,592,636.16/1,428.76
  6. Step 6: Final answer
    x = 1,114.70

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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.