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Finding the Fourth Proportional to 876.90, 1,211.16 and 581.67

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Solution

The fourth proportional to 876.90, 1,211.16 and 581.67 is: 803.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.90 : 1,211.16 = 581.67 : x
  2. Step 2: Convert to fraction form
    876.90/1,211.16 = 581.67/x
  3. Step 3: Cross multiply
    876.90x = 1,211.16 × 581.67
  4. Step 4: Simplify right side
    876.90x = 704,495.44
  5. Step 5: Solve for x
    x = 704,495.44/876.90
  6. Step 6: Final answer
    x = 803.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.