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Finding the Fourth Proportional to 1,437.35, 2,154.60 and 696.60

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Solution

The fourth proportional to 1,437.35, 2,154.60 and 696.60 is: 1,044.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,437.35 : 2,154.60 = 696.60 : x
  2. Step 2: Convert to fraction form
    1,437.35/2,154.60 = 696.60/x
  3. Step 3: Cross multiply
    1,437.35x = 2,154.60 × 696.60
  4. Step 4: Simplify right side
    1,437.35x = 1,500,894.36
  5. Step 5: Solve for x
    x = 1,500,894.36/1,437.35
  6. Step 6: Final answer
    x = 1,044.21

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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.