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Finding the Fourth Proportional to 1,175.23, 1,762.98 and 526.11

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Solution

The fourth proportional to 1,175.23, 1,762.98 and 526.11 is: 789.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,175.23 : 1,762.98 = 526.11 : x
  2. Step 2: Convert to fraction form
    1,175.23/1,762.98 = 526.11/x
  3. Step 3: Cross multiply
    1,175.23x = 1,762.98 × 526.11
  4. Step 4: Simplify right side
    1,175.23x = 927,521.41
  5. Step 5: Solve for x
    x = 927,521.41/1,175.23
  6. Step 6: Final answer
    x = 789.23

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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.