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Finding the Fourth Proportional to 1,184.06, 1,633.99 and 652.94

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Solution

The fourth proportional to 1,184.06, 1,633.99 and 652.94 is: 901.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,184.06 : 1,633.99 = 652.94 : x
  2. Step 2: Convert to fraction form
    1,184.06/1,633.99 = 652.94/x
  3. Step 3: Cross multiply
    1,184.06x = 1,633.99 × 652.94
  4. Step 4: Simplify right side
    1,184.06x = 1,066,893.76
  5. Step 5: Solve for x
    x = 1,066,893.76/1,184.06
  6. Step 6: Final answer
    x = 901.05

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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.