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Finding the Fourth Proportional to 1,477.55, 2,215.71 and 437.18

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Solution

The fourth proportional to 1,477.55, 2,215.71 and 437.18 is: 655.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,477.55 : 2,215.71 = 437.18 : x
  2. Step 2: Convert to fraction form
    1,477.55/2,215.71 = 437.18/x
  3. Step 3: Cross multiply
    1,477.55x = 2,215.71 × 437.18
  4. Step 4: Simplify right side
    1,477.55x = 968,653.02
  5. Step 5: Solve for x
    x = 968,653.02/1,477.55
  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.