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Finding the Fourth Proportional to 1,477.36, 2,216.45 and 599.32

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Solution

The fourth proportional to 1,477.36, 2,216.45 and 599.32 is: 899.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,477.36 : 2,216.45 = 599.32 : x
  2. Step 2: Convert to fraction form
    1,477.36/2,216.45 = 599.32/x
  3. Step 3: Cross multiply
    1,477.36x = 2,216.45 × 599.32
  4. Step 4: Simplify right side
    1,477.36x = 1,328,362.81
  5. Step 5: Solve for x
    x = 1,328,362.81/1,477.36
  6. Step 6: Final answer
    x = 899.15

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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.