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Finding the Fourth Proportional to 1,505.77, 2,258.71 and 410.17

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Solution

The fourth proportional to 1,505.77, 2,258.71 and 410.17 is: 615.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,505.77 : 2,258.71 = 410.17 : x
  2. Step 2: Convert to fraction form
    1,505.77/2,258.71 = 410.17/x
  3. Step 3: Cross multiply
    1,505.77x = 2,258.71 × 410.17
  4. Step 4: Simplify right side
    1,505.77x = 926,455.08
  5. Step 5: Solve for x
    x = 926,455.08/1,505.77
  6. Step 6: Final answer
    x = 615.27

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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.