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Finding the Fourth Proportional to 774.98, 1,162.48 and 288.08

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Solution

The fourth proportional to 774.98, 1,162.48 and 288.08 is: 432.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.98 : 1,162.48 = 288.08 : x
  2. Step 2: Convert to fraction form
    774.98/1,162.48 = 288.08/x
  3. Step 3: Cross multiply
    774.98x = 1,162.48 × 288.08
  4. Step 4: Simplify right side
    774.98x = 334,887.24
  5. Step 5: Solve for x
    x = 334,887.24/774.98
  6. Step 6: Final answer
    x = 432.12

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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.