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Finding the Fourth Proportional to 1,477.07, 2,215.94 and 436.99

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Solution

The fourth proportional to 1,477.07, 2,215.94 and 436.99 is: 655.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,477.07 : 2,215.94 = 436.99 : x
  2. Step 2: Convert to fraction form
    1,477.07/2,215.94 = 436.99/x
  3. Step 3: Cross multiply
    1,477.07x = 2,215.94 × 436.99
  4. Step 4: Simplify right side
    1,477.07x = 968,339.17
  5. Step 5: Solve for x
    x = 968,339.17/1,477.07
  6. Step 6: Final answer
    x = 655.58

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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.