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Finding the Fourth Proportional to 689.58, 950.40 and 652.66

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Solution

The fourth proportional to 689.58, 950.40 and 652.66 is: 899.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.58 : 950.40 = 652.66 : x
  2. Step 2: Convert to fraction form
    689.58/950.40 = 652.66/x
  3. Step 3: Cross multiply
    689.58x = 950.40 × 652.66
  4. Step 4: Simplify right side
    689.58x = 620,285.69
  5. Step 5: Solve for x
    x = 620,285.69/689.58
  6. Step 6: Final answer
    x = 899.51

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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.