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Finding the Fourth Proportional to 1,019.58, 1,406.91 and 621.35

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Solution

The fourth proportional to 1,019.58, 1,406.91 and 621.35 is: 857.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019.58 : 1,406.91 = 621.35 : x
  2. Step 2: Convert to fraction form
    1,019.58/1,406.91 = 621.35/x
  3. Step 3: Cross multiply
    1,019.58x = 1,406.91 × 621.35
  4. Step 4: Simplify right side
    1,019.58x = 874,176.49
  5. Step 5: Solve for x
    x = 874,176.49/1,019.58
  6. Step 6: Final answer
    x = 857.39

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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.