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Finding the Fourth Proportional to 1,172.32, 1,758.94 and 710.43

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Solution

The fourth proportional to 1,172.32, 1,758.94 and 710.43 is: 1,065.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,172.32 : 1,758.94 = 710.43 : x
  2. Step 2: Convert to fraction form
    1,172.32/1,758.94 = 710.43/x
  3. Step 3: Cross multiply
    1,172.32x = 1,758.94 × 710.43
  4. Step 4: Simplify right side
    1,172.32x = 1,249,609.74
  5. Step 5: Solve for x
    x = 1,249,609.74/1,172.32
  6. Step 6: Final answer
    x = 1,065.93

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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.