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Finding the Fourth Proportional to 889.55, 1,341.00 and 830.08

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Solution

The fourth proportional to 889.55, 1,341.00 and 830.08 is: 1,251.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    889.55 : 1,341.00 = 830.08 : x
  2. Step 2: Convert to fraction form
    889.55/1,341.00 = 830.08/x
  3. Step 3: Cross multiply
    889.55x = 1,341.00 × 830.08
  4. Step 4: Simplify right side
    889.55x = 1,113,138.56
  5. Step 5: Solve for x
    x = 1,113,138.56/889.55
  6. Step 6: Final answer
    x = 1,251.35

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.