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Finding the Fourth Proportional to 941.41, 1,410.29 and 697.20

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Solution

The fourth proportional to 941.41, 1,410.29 and 697.20 is: 1,044.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.41 : 1,410.29 = 697.20 : x
  2. Step 2: Convert to fraction form
    941.41/1,410.29 = 697.20/x
  3. Step 3: Cross multiply
    941.41x = 1,410.29 × 697.20
  4. Step 4: Simplify right side
    941.41x = 983,254.19
  5. Step 5: Solve for x
    x = 983,254.19/941.41
  6. Step 6: Final answer
    x = 1,044.45

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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.