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Finding the Fourth Proportional to 1,434.29, 1,980.66 and 931.01

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Solution

The fourth proportional to 1,434.29, 1,980.66 and 931.01 is: 1,285.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,434.29 : 1,980.66 = 931.01 : x
  2. Step 2: Convert to fraction form
    1,434.29/1,980.66 = 931.01/x
  3. Step 3: Cross multiply
    1,434.29x = 1,980.66 × 931.01
  4. Step 4: Simplify right side
    1,434.29x = 1,844,004.36
  5. Step 5: Solve for x
    x = 1,844,004.36/1,434.29
  6. Step 6: Final answer
    x = 1,285.66

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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.