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Finding the Fourth Proportional to 1,142.89, 1,713.75 and 526.06

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Solution

The fourth proportional to 1,142.89, 1,713.75 and 526.06 is: 788.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.89 : 1,713.75 = 526.06 : x
  2. Step 2: Convert to fraction form
    1,142.89/1,713.75 = 526.06/x
  3. Step 3: Cross multiply
    1,142.89x = 1,713.75 × 526.06
  4. Step 4: Simplify right side
    1,142.89x = 901,535.33
  5. Step 5: Solve for x
    x = 901,535.33/1,142.89
  6. Step 6: Final answer
    x = 788.82

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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.