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Finding the Fourth Proportional to 1,296.46, 1,789.11 and 707.01

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Solution

The fourth proportional to 1,296.46, 1,789.11 and 707.01 is: 975.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296.46 : 1,789.11 = 707.01 : x
  2. Step 2: Convert to fraction form
    1,296.46/1,789.11 = 707.01/x
  3. Step 3: Cross multiply
    1,296.46x = 1,789.11 × 707.01
  4. Step 4: Simplify right side
    1,296.46x = 1,264,918.66
  5. Step 5: Solve for x
    x = 1,264,918.66/1,296.46
  6. Step 6: Final answer
    x = 975.67

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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.