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Finding the Fourth Proportional to 1,223.47, 1,688.16 and 692.25

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Solution

The fourth proportional to 1,223.47, 1,688.16 and 692.25 is: 955.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.47 : 1,688.16 = 692.25 : x
  2. Step 2: Convert to fraction form
    1,223.47/1,688.16 = 692.25/x
  3. Step 3: Cross multiply
    1,223.47x = 1,688.16 × 692.25
  4. Step 4: Simplify right side
    1,223.47x = 1,168,628.76
  5. Step 5: Solve for x
    x = 1,168,628.76/1,223.47
  6. Step 6: Final answer
    x = 955.18

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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.