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Finding the Fourth Proportional to 1,119.26, 1,677.64 and 526.58

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Solution

The fourth proportional to 1,119.26, 1,677.64 and 526.58 is: 789.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,119.26 : 1,677.64 = 526.58 : x
  2. Step 2: Convert to fraction form
    1,119.26/1,677.64 = 526.58/x
  3. Step 3: Cross multiply
    1,119.26x = 1,677.64 × 526.58
  4. Step 4: Simplify right side
    1,119.26x = 883,411.67
  5. Step 5: Solve for x
    x = 883,411.67/1,119.26
  6. Step 6: Final answer
    x = 789.28

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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.