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Finding the Fourth Proportional to 1,417.78, 2,127.28 and 492.84

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Solution

The fourth proportional to 1,417.78, 2,127.28 and 492.84 is: 739.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,417.78 : 2,127.28 = 492.84 : x
  2. Step 2: Convert to fraction form
    1,417.78/2,127.28 = 492.84/x
  3. Step 3: Cross multiply
    1,417.78x = 2,127.28 × 492.84
  4. Step 4: Simplify right side
    1,417.78x = 1,048,402.55
  5. Step 5: Solve for x
    x = 1,048,402.55/1,417.78
  6. Step 6: Final answer
    x = 739.47

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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.