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Finding the Fourth Proportional to 1,479.49, 2,041.58 and 816.30

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Solution

The fourth proportional to 1,479.49, 2,041.58 and 816.30 is: 1,126.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,479.49 : 2,041.58 = 816.30 : x
  2. Step 2: Convert to fraction form
    1,479.49/2,041.58 = 816.30/x
  3. Step 3: Cross multiply
    1,479.49x = 2,041.58 × 816.30
  4. Step 4: Simplify right side
    1,479.49x = 1,666,541.75
  5. Step 5: Solve for x
    x = 1,666,541.75/1,479.49
  6. Step 6: Final answer
    x = 1,126.43

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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.