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Finding the Fourth Proportional to 840.81, 1,159.68 and 708.73

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Solution

The fourth proportional to 840.81, 1,159.68 and 708.73 is: 977.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.81 : 1,159.68 = 708.73 : x
  2. Step 2: Convert to fraction form
    840.81/1,159.68 = 708.73/x
  3. Step 3: Cross multiply
    840.81x = 1,159.68 × 708.73
  4. Step 4: Simplify right side
    840.81x = 821,900.01
  5. Step 5: Solve for x
    x = 821,900.01/840.81
  6. Step 6: Final answer
    x = 977.51

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1.5x scale

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.