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Finding the Fourth Proportional to 835.95, 1,153.64 and 463.01

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Solution

The fourth proportional to 835.95, 1,153.64 and 463.01 is: 638.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.95 : 1,153.64 = 463.01 : x
  2. Step 2: Convert to fraction form
    835.95/1,153.64 = 463.01/x
  3. Step 3: Cross multiply
    835.95x = 1,153.64 × 463.01
  4. Step 4: Simplify right side
    835.95x = 534,138.77
  5. Step 5: Solve for x
    x = 534,138.77/835.95
  6. Step 6: Final answer
    x = 638.96

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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.