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Finding the Fourth Proportional to 941.32, 1,410.45 and 840.43

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Solution

The fourth proportional to 941.32, 1,410.45 and 840.43 is: 1,259.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.32 : 1,410.45 = 840.43 : x
  2. Step 2: Convert to fraction form
    941.32/1,410.45 = 840.43/x
  3. Step 3: Cross multiply
    941.32x = 1,410.45 × 840.43
  4. Step 4: Simplify right side
    941.32x = 1,185,384.49
  5. Step 5: Solve for x
    x = 1,185,384.49/941.32
  6. Step 6: Final answer
    x = 1,259.28

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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.