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Finding the Fourth Proportional to 1,063.71, 1,465.87 and 709.23

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Solution

The fourth proportional to 1,063.71, 1,465.87 and 709.23 is: 977.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,063.71 : 1,465.87 = 709.23 : x
  2. Step 2: Convert to fraction form
    1,063.71/1,465.87 = 709.23/x
  3. Step 3: Cross multiply
    1,063.71x = 1,465.87 × 709.23
  4. Step 4: Simplify right side
    1,063.71x = 1,039,638.98
  5. Step 5: Solve for x
    x = 1,039,638.98/1,063.71
  6. Step 6: Final answer
    x = 977.37

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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.