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Finding the Fourth Proportional to 1,434.93, 1,980.29 and 805.51

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Solution

The fourth proportional to 1,434.93, 1,980.29 and 805.51 is: 1,111.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,434.93 : 1,980.29 = 805.51 : x
  2. Step 2: Convert to fraction form
    1,434.93/1,980.29 = 805.51/x
  3. Step 3: Cross multiply
    1,434.93x = 1,980.29 × 805.51
  4. Step 4: Simplify right side
    1,434.93x = 1,595,143.40
  5. Step 5: Solve for x
    x = 1,595,143.40/1,434.93
  6. Step 6: Final answer
    x = 1,111.65

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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.