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Finding the Fourth Proportional to 1,438.53, 1,985.00 and 809.07

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Solution

The fourth proportional to 1,438.53, 1,985.00 and 809.07 is: 1,116.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,438.53 : 1,985.00 = 809.07 : x
  2. Step 2: Convert to fraction form
    1,438.53/1,985.00 = 809.07/x
  3. Step 3: Cross multiply
    1,438.53x = 1,985.00 × 809.07
  4. Step 4: Simplify right side
    1,438.53x = 1,605,999.90
  5. Step 5: Solve for x
    x = 1,605,999.90/1,438.53
  6. Step 6: Final answer
    x = 1,116.42

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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.