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Finding the Fourth Proportional to 1,437.84, 1,984.23 and 816.84

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Solution

The fourth proportional to 1,437.84, 1,984.23 and 816.84 is: 1,127.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,437.84 : 1,984.23 = 816.84 : x
  2. Step 2: Convert to fraction form
    1,437.84/1,984.23 = 816.84/x
  3. Step 3: Cross multiply
    1,437.84x = 1,984.23 × 816.84
  4. Step 4: Simplify right side
    1,437.84x = 1,620,798.43
  5. Step 5: Solve for x
    x = 1,620,798.43/1,437.84
  6. Step 6: Final answer
    x = 1,127.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.