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Finding the Fourth Proportional to 1,176.15, 1,764.81 and 526.71

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Solution

The fourth proportional to 1,176.15, 1,764.81 and 526.71 is: 790.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,176.15 : 1,764.81 = 526.71 : x
  2. Step 2: Convert to fraction form
    1,176.15/1,764.81 = 526.71/x
  3. Step 3: Cross multiply
    1,176.15x = 1,764.81 × 526.71
  4. Step 4: Simplify right side
    1,176.15x = 929,543.08
  5. Step 5: Solve for x
    x = 929,543.08/1,176.15
  6. Step 6: Final answer
    x = 790.33

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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.