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Finding the Fourth Proportional to 1,161.83, 1,598.58 and 899.39

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Solution

The fourth proportional to 1,161.83, 1,598.58 and 899.39 is: 1,237.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.83 : 1,598.58 = 899.39 : x
  2. Step 2: Convert to fraction form
    1,161.83/1,598.58 = 899.39/x
  3. Step 3: Cross multiply
    1,161.83x = 1,598.58 × 899.39
  4. Step 4: Simplify right side
    1,161.83x = 1,437,738.87
  5. Step 5: Solve for x
    x = 1,437,738.87/1,161.83
  6. Step 6: Final answer
    x = 1,237.48

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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.