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Finding the Fourth Proportional to 1,313.98, 1,970.85 and 765.82

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Solution

The fourth proportional to 1,313.98, 1,970.85 and 765.82 is: 1,148.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,313.98 : 1,970.85 = 765.82 : x
  2. Step 2: Convert to fraction form
    1,313.98/1,970.85 = 765.82/x
  3. Step 3: Cross multiply
    1,313.98x = 1,970.85 × 765.82
  4. Step 4: Simplify right side
    1,313.98x = 1,509,316.35
  5. Step 5: Solve for x
    x = 1,509,316.35/1,313.98
  6. Step 6: Final answer
    x = 1,148.66

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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.