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Finding the Fourth Proportional to 783.51, 1,079.02 and 766.50

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Solution

The fourth proportional to 783.51, 1,079.02 and 766.50 is: 1,055.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.51 : 1,079.02 = 766.50 : x
  2. Step 2: Convert to fraction form
    783.51/1,079.02 = 766.50/x
  3. Step 3: Cross multiply
    783.51x = 1,079.02 × 766.50
  4. Step 4: Simplify right side
    783.51x = 827,068.83
  5. Step 5: Solve for x
    x = 827,068.83/783.51
  6. Step 6: Final answer
    x = 1,055.59

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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.