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Finding the Fourth Proportional to 1,039.10, 1,434.04 and 776.66

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Solution

The fourth proportional to 1,039.10, 1,434.04 and 776.66 is: 1,071.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,039.10 : 1,434.04 = 776.66 : x
  2. Step 2: Convert to fraction form
    1,039.10/1,434.04 = 776.66/x
  3. Step 3: Cross multiply
    1,039.10x = 1,434.04 × 776.66
  4. Step 4: Simplify right side
    1,039.10x = 1,113,761.51
  5. Step 5: Solve for x
    x = 1,113,761.51/1,039.10
  6. Step 6: Final answer
    x = 1,071.85

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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.