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Finding the Fourth Proportional to 1,124.21, 1,678.86 and 970.52

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Solution

The fourth proportional to 1,124.21, 1,678.86 and 970.52 is: 1,449.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,124.21 : 1,678.86 = 970.52 : x
  2. Step 2: Convert to fraction form
    1,124.21/1,678.86 = 970.52/x
  3. Step 3: Cross multiply
    1,124.21x = 1,678.86 × 970.52
  4. Step 4: Simplify right side
    1,124.21x = 1,629,358.81
  5. Step 5: Solve for x
    x = 1,629,358.81/1,124.21
  6. Step 6: Final answer
    x = 1,449.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.