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Finding the Fourth Proportional to 1,655.04, 2,482.49 and 777.22

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Solution

The fourth proportional to 1,655.04, 2,482.49 and 777.22 is: 1,165.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,655.04 : 2,482.49 = 777.22 : x
  2. Step 2: Convert to fraction form
    1,655.04/2,482.49 = 777.22/x
  3. Step 3: Cross multiply
    1,655.04x = 2,482.49 × 777.22
  4. Step 4: Simplify right side
    1,655.04x = 1,929,428.47
  5. Step 5: Solve for x
    x = 1,929,428.47/1,655.04
  6. Step 6: Final answer
    x = 1,165.79

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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.