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Finding the Fourth Proportional to 1,505.61, 2,258.01 and 774.72

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Solution

The fourth proportional to 1,505.61, 2,258.01 and 774.72 is: 1,161.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,505.61 : 2,258.01 = 774.72 : x
  2. Step 2: Convert to fraction form
    1,505.61/2,258.01 = 774.72/x
  3. Step 3: Cross multiply
    1,505.61x = 2,258.01 × 774.72
  4. Step 4: Simplify right side
    1,505.61x = 1,749,325.51
  5. Step 5: Solve for x
    x = 1,749,325.51/1,505.61
  6. Step 6: Final answer
    x = 1,161.87

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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.