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Finding the Fourth Proportional to 1,039.09, 1,434.06 and 776.65

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Solution

The fourth proportional to 1,039.09, 1,434.06 and 776.65 is: 1,071.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,039.09 : 1,434.06 = 776.65 : x
  2. Step 2: Convert to fraction form
    1,039.09/1,434.06 = 776.65/x
  3. Step 3: Cross multiply
    1,039.09x = 1,434.06 × 776.65
  4. Step 4: Simplify right side
    1,039.09x = 1,113,762.70
  5. Step 5: Solve for x
    x = 1,113,762.70/1,039.09
  6. Step 6: Final answer
    x = 1,071.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.