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Finding the Fourth Proportional to 876.89, 1,313.77 and 465.12

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Solution

The fourth proportional to 876.89, 1,313.77 and 465.12 is: 696.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.89 : 1,313.77 = 465.12 : x
  2. Step 2: Convert to fraction form
    876.89/1,313.77 = 465.12/x
  3. Step 3: Cross multiply
    876.89x = 1,313.77 × 465.12
  4. Step 4: Simplify right side
    876.89x = 611,060.70
  5. Step 5: Solve for x
    x = 611,060.70/876.89
  6. Step 6: Final answer
    x = 696.85

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1.5x scale

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.