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Finding the Fourth Proportional to 930, 1,283.40 and 709.20

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Solution

The fourth proportional to 930, 1,283.40 and 709.20 is: 978.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    930 : 1,283.40 = 709.20 : x
  2. Step 2: Convert to fraction form
    930/1,283.40 = 709.20/x
  3. Step 3: Cross multiply
    930x = 1,283.40 × 709.20
  4. Step 4: Simplify right side
    930x = 910,187.28
  5. Step 5: Solve for x
    x = 910,187.28/930
  6. Step 6: Final answer
    x = 978.70

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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.