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Finding the Fourth Proportional to 1,307.01, 1,961.34 and 537.51

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Solution

The fourth proportional to 1,307.01, 1,961.34 and 537.51 is: 806.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307.01 : 1,961.34 = 537.51 : x
  2. Step 2: Convert to fraction form
    1,307.01/1,961.34 = 537.51/x
  3. Step 3: Cross multiply
    1,307.01x = 1,961.34 × 537.51
  4. Step 4: Simplify right side
    1,307.01x = 1,054,239.86
  5. Step 5: Solve for x
    x = 1,054,239.86/1,307.01
  6. Step 6: Final answer
    x = 806.60

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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.