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Finding the Fourth Proportional to 959.81, 1,435.20 and 685.05

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Solution

The fourth proportional to 959.81, 1,435.20 and 685.05 is: 1,024.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    959.81 : 1,435.20 = 685.05 : x
  2. Step 2: Convert to fraction form
    959.81/1,435.20 = 685.05/x
  3. Step 3: Cross multiply
    959.81x = 1,435.20 × 685.05
  4. Step 4: Simplify right side
    959.81x = 983,176.58
  5. Step 5: Solve for x
    x = 983,176.58/959.81
  6. Step 6: Final answer
    x = 1,024.35

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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.