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Finding the Fourth Proportional to 1,134.19, 1,564.88 and 692.07

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Solution

The fourth proportional to 1,134.19, 1,564.88 and 692.07 is: 954.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,134.19 : 1,564.88 = 692.07 : x
  2. Step 2: Convert to fraction form
    1,134.19/1,564.88 = 692.07/x
  3. Step 3: Cross multiply
    1,134.19x = 1,564.88 × 692.07
  4. Step 4: Simplify right side
    1,134.19x = 1,083,006.50
  5. Step 5: Solve for x
    x = 1,083,006.50/1,134.19
  6. Step 6: Final answer
    x = 954.87

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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.