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Finding the Fourth Proportional to 783.96, 1,176.06 and 703.20

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Solution

The fourth proportional to 783.96, 1,176.06 and 703.20 is: 1,054.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.96 : 1,176.06 = 703.20 : x
  2. Step 2: Convert to fraction form
    783.96/1,176.06 = 703.20/x
  3. Step 3: Cross multiply
    783.96x = 1,176.06 × 703.20
  4. Step 4: Simplify right side
    783.96x = 827,005.39
  5. Step 5: Solve for x
    x = 827,005.39/783.96
  6. Step 6: Final answer
    x = 1,054.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.