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Finding the Fourth Proportional to 835.66, 1,153.74 and 537.04

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Solution

The fourth proportional to 835.66, 1,153.74 and 537.04 is: 741.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.66 : 1,153.74 = 537.04 : x
  2. Step 2: Convert to fraction form
    835.66/1,153.74 = 537.04/x
  3. Step 3: Cross multiply
    835.66x = 1,153.74 × 537.04
  4. Step 4: Simplify right side
    835.66x = 619,607.34
  5. Step 5: Solve for x
    x = 619,607.34/835.66
  6. Step 6: Final answer
    x = 741.46

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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.