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Finding the Fourth Proportional to 783.16, 1,074.80 and 709.32

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Solution

The fourth proportional to 783.16, 1,074.80 and 709.32 is: 973.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.16 : 1,074.80 = 709.32 : x
  2. Step 2: Convert to fraction form
    783.16/1,074.80 = 709.32/x
  3. Step 3: Cross multiply
    783.16x = 1,074.80 × 709.32
  4. Step 4: Simplify right side
    783.16x = 762,377.14
  5. Step 5: Solve for x
    x = 762,377.14/783.16
  6. Step 6: Final answer
    x = 973.46

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.