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Finding the Fourth Proportional to 1,347.95, 2,021.05 and 526.31

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Solution

The fourth proportional to 1,347.95, 2,021.05 and 526.31 is: 789.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,347.95 : 2,021.05 = 526.31 : x
  2. Step 2: Convert to fraction form
    1,347.95/2,021.05 = 526.31/x
  3. Step 3: Cross multiply
    1,347.95x = 2,021.05 × 526.31
  4. Step 4: Simplify right side
    1,347.95x = 1,063,688.72
  5. Step 5: Solve for x
    x = 1,063,688.72/1,347.95
  6. Step 6: Final answer
    x = 789.12

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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.