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Finding the Fourth Proportional to 1,103.19, 1,655.30 and 692.22

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Solution

The fourth proportional to 1,103.19, 1,655.30 and 692.22 is: 1,038.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.19 : 1,655.30 = 692.22 : x
  2. Step 2: Convert to fraction form
    1,103.19/1,655.30 = 692.22/x
  3. Step 3: Cross multiply
    1,103.19x = 1,655.30 × 692.22
  4. Step 4: Simplify right side
    1,103.19x = 1,145,828.30
  5. Step 5: Solve for x
    x = 1,145,828.30/1,103.19
  6. Step 6: Final answer
    x = 1,038.65

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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.