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Finding the Fourth Proportional to 774.45, 1,070.13 and 553.02

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Solution

The fourth proportional to 774.45, 1,070.13 and 553.02 is: 764.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.45 : 1,070.13 = 553.02 : x
  2. Step 2: Convert to fraction form
    774.45/1,070.13 = 553.02/x
  3. Step 3: Cross multiply
    774.45x = 1,070.13 × 553.02
  4. Step 4: Simplify right side
    774.45x = 591,803.29
  5. Step 5: Solve for x
    x = 591,803.29/774.45
  6. Step 6: Final answer
    x = 764.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.