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Finding the Fourth Proportional to 1,052.30, 1,577.93 and 613.71

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Solution

The fourth proportional to 1,052.30, 1,577.93 and 613.71 is: 920.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052.30 : 1,577.93 = 613.71 : x
  2. Step 2: Convert to fraction form
    1,052.30/1,577.93 = 613.71/x
  3. Step 3: Cross multiply
    1,052.30x = 1,577.93 × 613.71
  4. Step 4: Simplify right side
    1,052.30x = 968,388.35
  5. Step 5: Solve for x
    x = 968,388.35/1,052.30
  6. Step 6: Final answer
    x = 920.26

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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.