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Finding the Fourth Proportional to 1,313.02, 1,970.14 and 825.80

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Solution

The fourth proportional to 1,313.02, 1,970.14 and 825.80 is: 1,239.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,313.02 : 1,970.14 = 825.80 : x
  2. Step 2: Convert to fraction form
    1,313.02/1,970.14 = 825.80/x
  3. Step 3: Cross multiply
    1,313.02x = 1,970.14 × 825.80
  4. Step 4: Simplify right side
    1,313.02x = 1,626,941.61
  5. Step 5: Solve for x
    x = 1,626,941.61/1,313.02
  6. Step 6: Final answer
    x = 1,239.08

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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.