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Finding the Fourth Proportional to 786.99, 1,179.01 and 526.22

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Solution

The fourth proportional to 786.99, 1,179.01 and 526.22 is: 788.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.99 : 1,179.01 = 526.22 : x
  2. Step 2: Convert to fraction form
    786.99/1,179.01 = 526.22/x
  3. Step 3: Cross multiply
    786.99x = 1,179.01 × 526.22
  4. Step 4: Simplify right side
    786.99x = 620,417.83
  5. Step 5: Solve for x
    x = 620,417.83/786.99
  6. Step 6: Final answer
    x = 788.35

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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.