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Finding the Fourth Proportional to 895.16, 1,234.80 and 696.20

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Solution

The fourth proportional to 895.16, 1,234.80 and 696.20 is: 960.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.16 : 1,234.80 = 696.20 : x
  2. Step 2: Convert to fraction form
    895.16/1,234.80 = 696.20/x
  3. Step 3: Cross multiply
    895.16x = 1,234.80 × 696.20
  4. Step 4: Simplify right side
    895.16x = 859,667.76
  5. Step 5: Solve for x
    x = 859,667.76/895.16
  6. Step 6: Final answer
    x = 960.35

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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.