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Finding the Fourth Proportional to 1,477.06, 2,215.84 and 552.94

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Solution

The fourth proportional to 1,477.06, 2,215.84 and 552.94 is: 829.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,477.06 : 2,215.84 = 552.94 : x
  2. Step 2: Convert to fraction form
    1,477.06/2,215.84 = 552.94/x
  3. Step 3: Cross multiply
    1,477.06x = 2,215.84 × 552.94
  4. Step 4: Simplify right side
    1,477.06x = 1,225,226.57
  5. Step 5: Solve for x
    x = 1,225,226.57/1,477.06
  6. Step 6: Final answer
    x = 829.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.