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Finding the Fourth Proportional to 1,301.12, 1,795.56 and 971.08

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Solution

The fourth proportional to 1,301.12, 1,795.56 and 971.08 is: 1,340.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,301.12 : 1,795.56 = 971.08 : x
  2. Step 2: Convert to fraction form
    1,301.12/1,795.56 = 971.08/x
  3. Step 3: Cross multiply
    1,301.12x = 1,795.56 × 971.08
  4. Step 4: Simplify right side
    1,301.12x = 1,743,632.40
  5. Step 5: Solve for x
    x = 1,743,632.40/1,301.12
  6. Step 6: Final answer
    x = 1,340.10

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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.