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Finding the Fourth Proportional to 1,407.18, 1,941.58 and 817.61

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Solution

The fourth proportional to 1,407.18, 1,941.58 and 817.61 is: 1,128.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407.18 : 1,941.58 = 817.61 : x
  2. Step 2: Convert to fraction form
    1,407.18/1,941.58 = 817.61/x
  3. Step 3: Cross multiply
    1,407.18x = 1,941.58 × 817.61
  4. Step 4: Simplify right side
    1,407.18x = 1,587,455.22
  5. Step 5: Solve for x
    x = 1,587,455.22/1,407.18
  6. Step 6: Final answer
    x = 1,128.11

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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.