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Finding the Fourth Proportional to 816.23, 1,125.84 and 521.36

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Solution

The fourth proportional to 816.23, 1,125.84 and 521.36 is: 719.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.23 : 1,125.84 = 521.36 : x
  2. Step 2: Convert to fraction form
    816.23/1,125.84 = 521.36/x
  3. Step 3: Cross multiply
    816.23x = 1,125.84 × 521.36
  4. Step 4: Simplify right side
    816.23x = 586,970.76
  5. Step 5: Solve for x
    x = 586,970.76/816.23
  6. Step 6: Final answer
    x = 719.12

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1.5x scale

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.