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Finding the Fourth Proportional to 1,477.16, 2,215.73 and 599.65

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Solution

The fourth proportional to 1,477.16, 2,215.73 and 599.65 is: 899.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,477.16 : 2,215.73 = 599.65 : x
  2. Step 2: Convert to fraction form
    1,477.16/2,215.73 = 599.65/x
  3. Step 3: Cross multiply
    1,477.16x = 2,215.73 × 599.65
  4. Step 4: Simplify right side
    1,477.16x = 1,328,658.45
  5. Step 5: Solve for x
    x = 1,328,658.45/1,477.16
  6. Step 6: Final answer
    x = 899.47

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