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Finding the Fourth Proportional to 880.34, 1,322.91 and 830.00

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Solution

The fourth proportional to 880.34, 1,322.91 and 830.00 is: 1,247.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.34 : 1,322.91 = 830.00 : x
  2. Step 2: Convert to fraction form
    880.34/1,322.91 = 830.00/x
  3. Step 3: Cross multiply
    880.34x = 1,322.91 × 830.00
  4. Step 4: Simplify right side
    880.34x = 1,098,008.83
  5. Step 5: Solve for x
    x = 1,098,008.83/880.34
  6. Step 6: Final answer
    x = 1,247.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.