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Finding the Fourth Proportional to 1,776.24, 2,664 and 477.72

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Solution

The fourth proportional to 1,776.24, 2,664 and 477.72 is: 716.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,776.24 : 2,664 = 477.72 : x
  2. Step 2: Convert to fraction form
    1,776.24/2,664 = 477.72/x
  3. Step 3: Cross multiply
    1,776.24x = 2,664 × 477.72
  4. Step 4: Simplify right side
    1,776.24x = 1,272,646.08
  5. Step 5: Solve for x
    x = 1,272,646.08/1,776.24
  6. Step 6: Final answer
    x = 716.48

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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.