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Finding the Fourth Proportional to 1,064.24, 1,467.68 and 705.19

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Solution

The fourth proportional to 1,064.24, 1,467.68 and 705.19 is: 972.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,064.24 : 1,467.68 = 705.19 : x
  2. Step 2: Convert to fraction form
    1,064.24/1,467.68 = 705.19/x
  3. Step 3: Cross multiply
    1,064.24x = 1,467.68 × 705.19
  4. Step 4: Simplify right side
    1,064.24x = 1,034,993.26
  5. Step 5: Solve for x
    x = 1,034,993.26/1,064.24
  6. Step 6: Final answer
    x = 972.52

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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.