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Finding the Fourth Proportional to 1,283.70, 1,926.15 and 553.47

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Solution

The fourth proportional to 1,283.70, 1,926.15 and 553.47 is: 830.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,283.70 : 1,926.15 = 553.47 : x
  2. Step 2: Convert to fraction form
    1,283.70/1,926.15 = 553.47/x
  3. Step 3: Cross multiply
    1,283.70x = 1,926.15 × 553.47
  4. Step 4: Simplify right side
    1,283.70x = 1,066,066.24
  5. Step 5: Solve for x
    x = 1,066,066.24/1,283.70
  6. Step 6: Final answer
    x = 830.46

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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.