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Finding the Fourth Proportional to 1,427.99, 1,969.07 and 929.71

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Solution

The fourth proportional to 1,427.99, 1,969.07 and 929.71 is: 1,281.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,427.99 : 1,969.07 = 929.71 : x
  2. Step 2: Convert to fraction form
    1,427.99/1,969.07 = 929.71/x
  3. Step 3: Cross multiply
    1,427.99x = 1,969.07 × 929.71
  4. Step 4: Simplify right side
    1,427.99x = 1,830,664.07
  5. Step 5: Solve for x
    x = 1,830,664.07/1,427.99
  6. Step 6: Final answer
    x = 1,281.99

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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.