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Finding the Fourth Proportional to 1,017, 1,525.50 and 692.19

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Solution

The fourth proportional to 1,017, 1,525.50 and 692.19 is: 1,038.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,017 : 1,525.50 = 692.19 : x
  2. Step 2: Convert to fraction form
    1,017/1,525.50 = 692.19/x
  3. Step 3: Cross multiply
    1,017x = 1,525.50 × 692.19
  4. Step 4: Simplify right side
    1,017x = 1,055,935.85
  5. Step 5: Solve for x
    x = 1,055,935.85/1,017
  6. Step 6: Final answer
    x = 1,038.29

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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.