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Finding the Fourth Proportional to 757.82, 1,045.32 and 705.08

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Solution

The fourth proportional to 757.82, 1,045.32 and 705.08 is: 972.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.82 : 1,045.32 = 705.08 : x
  2. Step 2: Convert to fraction form
    757.82/1,045.32 = 705.08/x
  3. Step 3: Cross multiply
    757.82x = 1,045.32 × 705.08
  4. Step 4: Simplify right side
    757.82x = 737,032.25
  5. Step 5: Solve for x
    x = 737,032.25/757.82
  6. Step 6: Final answer
    x = 972.57

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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.