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Finding the Fourth Proportional to 1,038.69, 1,555.20 and 692.55

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Solution

The fourth proportional to 1,038.69, 1,555.20 and 692.55 is: 1,036.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.69 : 1,555.20 = 692.55 : x
  2. Step 2: Convert to fraction form
    1,038.69/1,555.20 = 692.55/x
  3. Step 3: Cross multiply
    1,038.69x = 1,555.20 × 692.55
  4. Step 4: Simplify right side
    1,038.69x = 1,077,053.76
  5. Step 5: Solve for x
    x = 1,077,053.76/1,038.69
  6. Step 6: Final answer
    x = 1,036.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.