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Finding the Fourth Proportional to 1,223.74, 1,688.71 and 692.63

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Solution

The fourth proportional to 1,223.74, 1,688.71 and 692.63 is: 955.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.74 : 1,688.71 = 692.63 : x
  2. Step 2: Convert to fraction form
    1,223.74/1,688.71 = 692.63/x
  3. Step 3: Cross multiply
    1,223.74x = 1,688.71 × 692.63
  4. Step 4: Simplify right side
    1,223.74x = 1,169,651.21
  5. Step 5: Solve for x
    x = 1,169,651.21/1,223.74
  6. Step 6: Final answer
    x = 955.80

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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.