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Finding the Fourth Proportional to 766.01, 1,056.42 and 598.01

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Solution

The fourth proportional to 766.01, 1,056.42 and 598.01 is: 824.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.01 : 1,056.42 = 598.01 : x
  2. Step 2: Convert to fraction form
    766.01/1,056.42 = 598.01/x
  3. Step 3: Cross multiply
    766.01x = 1,056.42 × 598.01
  4. Step 4: Simplify right side
    766.01x = 631,744.44
  5. Step 5: Solve for x
    x = 631,744.44/766.01
  6. Step 6: Final answer
    x = 824.72

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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.