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Finding the Fourth Proportional to 1,175.56, 1,762.68 and 526

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Solution

The fourth proportional to 1,175.56, 1,762.68 and 526 is: 788.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,175.56 : 1,762.68 = 526 : x
  2. Step 2: Convert to fraction form
    1,175.56/1,762.68 = 526/x
  3. Step 3: Cross multiply
    1,175.56x = 1,762.68 × 526
  4. Step 4: Simplify right side
    1,175.56x = 927,169.68
  5. Step 5: Solve for x
    x = 927,169.68/1,175.56
  6. Step 6: Final answer
    x = 788.70

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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.