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Finding the Fourth Proportional to 874.71, 1,308.87 and 526.77

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Solution

The fourth proportional to 874.71, 1,308.87 and 526.77 is: 788.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.71 : 1,308.87 = 526.77 : x
  2. Step 2: Convert to fraction form
    874.71/1,308.87 = 526.77/x
  3. Step 3: Cross multiply
    874.71x = 1,308.87 × 526.77
  4. Step 4: Simplify right side
    874.71x = 689,473.45
  5. Step 5: Solve for x
    x = 689,473.45/874.71
  6. Step 6: Final answer
    x = 788.23

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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.