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Finding the Fourth Proportional to 894.10, 1,233.93 and 521.00

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Solution

The fourth proportional to 894.10, 1,233.93 and 521.00 is: 719.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.10 : 1,233.93 = 521.00 : x
  2. Step 2: Convert to fraction form
    894.10/1,233.93 = 521.00/x
  3. Step 3: Cross multiply
    894.10x = 1,233.93 × 521.00
  4. Step 4: Simplify right side
    894.10x = 642,875.01
  5. Step 5: Solve for x
    x = 642,875.01/894.10
  6. Step 6: Final answer
    x = 719.02

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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.