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Finding the Fourth Proportional to 1,301.67, 1,795.65 and 882.06

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Solution

The fourth proportional to 1,301.67, 1,795.65 and 882.06 is: 1,216.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,301.67 : 1,795.65 = 882.06 : x
  2. Step 2: Convert to fraction form
    1,301.67/1,795.65 = 882.06/x
  3. Step 3: Cross multiply
    1,301.67x = 1,795.65 × 882.06
  4. Step 4: Simplify right side
    1,301.67x = 1,583,871.04
  5. Step 5: Solve for x
    x = 1,583,871.04/1,301.67
  6. Step 6: Final answer
    x = 1,216.80

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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.