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Finding the Fourth Proportional to 1,307.73, 1,961.50 and 485.65

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Solution

The fourth proportional to 1,307.73, 1,961.50 and 485.65 is: 728.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307.73 : 1,961.50 = 485.65 : x
  2. Step 2: Convert to fraction form
    1,307.73/1,961.50 = 485.65/x
  3. Step 3: Cross multiply
    1,307.73x = 1,961.50 × 485.65
  4. Step 4: Simplify right side
    1,307.73x = 952,602.48
  5. Step 5: Solve for x
    x = 952,602.48/1,307.73
  6. Step 6: Final answer
    x = 728.44

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Double scale
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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.