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Finding the Fourth Proportional to 1,124.52, 1,678.93 and 970.28

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Solution

The fourth proportional to 1,124.52, 1,678.93 and 970.28 is: 1,448.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,124.52 : 1,678.93 = 970.28 : x
  2. Step 2: Convert to fraction form
    1,124.52/1,678.93 = 970.28/x
  3. Step 3: Cross multiply
    1,124.52x = 1,678.93 × 970.28
  4. Step 4: Simplify right side
    1,124.52x = 1,629,032.20
  5. Step 5: Solve for x
    x = 1,629,032.20/1,124.52
  6. Step 6: Final answer
    x = 1,448.65

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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.