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Finding the Fourth Proportional to 1,257.76, 1,885.76 and 526.72

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Solution

The fourth proportional to 1,257.76, 1,885.76 and 526.72 is: 789.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257.76 : 1,885.76 = 526.72 : x
  2. Step 2: Convert to fraction form
    1,257.76/1,885.76 = 526.72/x
  3. Step 3: Cross multiply
    1,257.76x = 1,885.76 × 526.72
  4. Step 4: Simplify right side
    1,257.76x = 993,267.51
  5. Step 5: Solve for x
    x = 993,267.51/1,257.76
  6. Step 6: Final answer
    x = 789.71

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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.