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Finding the Fourth Proportional to 1,655.66, 2,483.76 and 559.78

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Solution

The fourth proportional to 1,655.66, 2,483.76 and 559.78 is: 839.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,655.66 : 2,483.76 = 559.78 : x
  2. Step 2: Convert to fraction form
    1,655.66/2,483.76 = 559.78/x
  3. Step 3: Cross multiply
    1,655.66x = 2,483.76 × 559.78
  4. Step 4: Simplify right side
    1,655.66x = 1,390,359.17
  5. Step 5: Solve for x
    x = 1,390,359.17/1,655.66
  6. Step 6: Final answer
    x = 839.76

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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.