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Finding the Fourth Proportional to 1,019.89, 1,407.46 and 577.78

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Solution

The fourth proportional to 1,019.89, 1,407.46 and 577.78 is: 797.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019.89 : 1,407.46 = 577.78 : x
  2. Step 2: Convert to fraction form
    1,019.89/1,407.46 = 577.78/x
  3. Step 3: Cross multiply
    1,019.89x = 1,407.46 × 577.78
  4. Step 4: Simplify right side
    1,019.89x = 813,192.31
  5. Step 5: Solve for x
    x = 813,192.31/1,019.89
  6. Step 6: Final answer
    x = 797.34

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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.