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Finding the Fourth Proportional to 1,176.19, 1,765.06 and 526.91

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Solution

The fourth proportional to 1,176.19, 1,765.06 and 526.91 is: 790.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,176.19 : 1,765.06 = 526.91 : x
  2. Step 2: Convert to fraction form
    1,176.19/1,765.06 = 526.91/x
  3. Step 3: Cross multiply
    1,176.19x = 1,765.06 × 526.91
  4. Step 4: Simplify right side
    1,176.19x = 930,017.62
  5. Step 5: Solve for x
    x = 930,017.62/1,176.19
  6. Step 6: Final answer
    x = 790.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.