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Finding the Fourth Proportional to 1,216.24, 1,678.08 and 692.28

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Solution

The fourth proportional to 1,216.24, 1,678.08 and 692.28 is: 955.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.24 : 1,678.08 = 692.28 : x
  2. Step 2: Convert to fraction form
    1,216.24/1,678.08 = 692.28/x
  3. Step 3: Cross multiply
    1,216.24x = 1,678.08 × 692.28
  4. Step 4: Simplify right side
    1,216.24x = 1,161,701.22
  5. Step 5: Solve for x
    x = 1,161,701.22/1,216.24
  6. Step 6: Final answer
    x = 955.16

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1.5x scale

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.