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Finding the Fourth Proportional to 1,019.94, 1,407.36 and 571.74

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Solution

The fourth proportional to 1,019.94, 1,407.36 and 571.74 is: 788.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019.94 : 1,407.36 = 571.74 : x
  2. Step 2: Convert to fraction form
    1,019.94/1,407.36 = 571.74/x
  3. Step 3: Cross multiply
    1,019.94x = 1,407.36 × 571.74
  4. Step 4: Simplify right side
    1,019.94x = 804,644.01
  5. Step 5: Solve for x
    x = 804,644.01/1,019.94
  6. Step 6: Final answer
    x = 788.91

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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.