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Finding the Fourth Proportional to 1,289.66, 1,933.16 and 508.60

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Solution

The fourth proportional to 1,289.66, 1,933.16 and 508.60 is: 762.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,289.66 : 1,933.16 = 508.60 : x
  2. Step 2: Convert to fraction form
    1,289.66/1,933.16 = 508.60/x
  3. Step 3: Cross multiply
    1,289.66x = 1,933.16 × 508.60
  4. Step 4: Simplify right side
    1,289.66x = 983,205.18
  5. Step 5: Solve for x
    x = 983,205.18/1,289.66
  6. Step 6: Final answer
    x = 762.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.