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Finding the Fourth Proportional to 874.90, 1,312.35 and 766.90

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Solution

The fourth proportional to 874.90, 1,312.35 and 766.90 is: 1,150.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.90 : 1,312.35 = 766.90 : x
  2. Step 2: Convert to fraction form
    874.90/1,312.35 = 766.90/x
  3. Step 3: Cross multiply
    874.90x = 1,312.35 × 766.90
  4. Step 4: Simplify right side
    874.90x = 1,006,441.22
  5. Step 5: Solve for x
    x = 1,006,441.22/874.90
  6. Step 6: Final answer
    x = 1,150.35

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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.