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Finding the Fourth Proportional to 607.76, 906.53 and 589.54

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Solution

The fourth proportional to 607.76, 906.53 and 589.54 is: 879.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.76 : 906.53 = 589.54 : x
  2. Step 2: Convert to fraction form
    607.76/906.53 = 589.54/x
  3. Step 3: Cross multiply
    607.76x = 906.53 × 589.54
  4. Step 4: Simplify right side
    607.76x = 534,435.70
  5. Step 5: Solve for x
    x = 534,435.70/607.76
  6. Step 6: Final answer
    x = 879.35

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.