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Finding the Fourth Proportional to 914.00, 1,370.03 and 589.59

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Solution

The fourth proportional to 914.00, 1,370.03 and 589.59 is: 883.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.00 : 1,370.03 = 589.59 : x
  2. Step 2: Convert to fraction form
    914.00/1,370.03 = 589.59/x
  3. Step 3: Cross multiply
    914.00x = 1,370.03 × 589.59
  4. Step 4: Simplify right side
    914.00x = 807,753.04
  5. Step 5: Solve for x
    x = 807,753.04/914.00
  6. Step 6: Final answer
    x = 883.76

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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.