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Finding the Fourth Proportional to 1,296.02, 1,943.33 and 885.67

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Solution

The fourth proportional to 1,296.02, 1,943.33 and 885.67 is: 1,328.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296.02 : 1,943.33 = 885.67 : x
  2. Step 2: Convert to fraction form
    1,296.02/1,943.33 = 885.67/x
  3. Step 3: Cross multiply
    1,296.02x = 1,943.33 × 885.67
  4. Step 4: Simplify right side
    1,296.02x = 1,721,139.79
  5. Step 5: Solve for x
    x = 1,721,139.79/1,296.02
  6. Step 6: Final answer
    x = 1,328.02

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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.