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Finding the Fourth Proportional to 1,110.42, 1,532.37 and 613.06

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Solution

The fourth proportional to 1,110.42, 1,532.37 and 613.06 is: 846.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,110.42 : 1,532.37 = 613.06 : x
  2. Step 2: Convert to fraction form
    1,110.42/1,532.37 = 613.06/x
  3. Step 3: Cross multiply
    1,110.42x = 1,532.37 × 613.06
  4. Step 4: Simplify right side
    1,110.42x = 939,434.08
  5. Step 5: Solve for x
    x = 939,434.08/1,110.42
  6. Step 6: Final answer
    x = 846.02

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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.