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Finding the Fourth Proportional to 1,477.04, 2,216.01 and 655.24

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Solution

The fourth proportional to 1,477.04, 2,216.01 and 655.24 is: 983.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,477.04 : 2,216.01 = 655.24 : x
  2. Step 2: Convert to fraction form
    1,477.04/2,216.01 = 655.24/x
  3. Step 3: Cross multiply
    1,477.04x = 2,216.01 × 655.24
  4. Step 4: Simplify right side
    1,477.04x = 1,452,015.78
  5. Step 5: Solve for x
    x = 1,452,015.78/1,477.04
  6. Step 6: Final answer
    x = 983.06

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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.