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Finding the Fourth Proportional to 1,477.58, 2,216.36 and 552.89

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Solution

The fourth proportional to 1,477.58, 2,216.36 and 552.89 is: 829.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,477.58 : 2,216.36 = 552.89 : x
  2. Step 2: Convert to fraction form
    1,477.58/2,216.36 = 552.89/x
  3. Step 3: Cross multiply
    1,477.58x = 2,216.36 × 552.89
  4. Step 4: Simplify right side
    1,477.58x = 1,225,389.43
  5. Step 5: Solve for x
    x = 1,225,389.43/1,477.58
  6. Step 6: Final answer
    x = 829.32

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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.