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Finding the Fourth Proportional to 1,017.22, 1,525.72 and 400.84

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Solution

The fourth proportional to 1,017.22, 1,525.72 and 400.84 is: 601.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,017.22 : 1,525.72 = 400.84 : x
  2. Step 2: Convert to fraction form
    1,017.22/1,525.72 = 400.84/x
  3. Step 3: Cross multiply
    1,017.22x = 1,525.72 × 400.84
  4. Step 4: Simplify right side
    1,017.22x = 611,569.60
  5. Step 5: Solve for x
    x = 611,569.60/1,017.22
  6. Step 6: Final answer
    x = 601.22

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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.