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Finding the Fourth Proportional to 914.10, 1,260.74 and 599.02

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Solution

The fourth proportional to 914.10, 1,260.74 and 599.02 is: 826.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.10 : 1,260.74 = 599.02 : x
  2. Step 2: Convert to fraction form
    914.10/1,260.74 = 599.02/x
  3. Step 3: Cross multiply
    914.10x = 1,260.74 × 599.02
  4. Step 4: Simplify right side
    914.10x = 755,208.47
  5. Step 5: Solve for x
    x = 755,208.47/914.10
  6. Step 6: Final answer
    x = 826.18

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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.