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Finding the Fourth Proportional to 1,284.43, 1,925.56 and 553.45

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Solution

The fourth proportional to 1,284.43, 1,925.56 and 553.45 is: 829.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284.43 : 1,925.56 = 553.45 : x
  2. Step 2: Convert to fraction form
    1,284.43/1,925.56 = 553.45/x
  3. Step 3: Cross multiply
    1,284.43x = 1,925.56 × 553.45
  4. Step 4: Simplify right side
    1,284.43x = 1,065,701.18
  5. Step 5: Solve for x
    x = 1,065,701.18/1,284.43
  6. Step 6: Final answer
    x = 829.71

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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.