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Finding the Fourth Proportional to 1,006.83, 1,389.42 and 564.75

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Solution

The fourth proportional to 1,006.83, 1,389.42 and 564.75 is: 779.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006.83 : 1,389.42 = 564.75 : x
  2. Step 2: Convert to fraction form
    1,006.83/1,389.42 = 564.75/x
  3. Step 3: Cross multiply
    1,006.83x = 1,389.42 × 564.75
  4. Step 4: Simplify right side
    1,006.83x = 784,674.95
  5. Step 5: Solve for x
    x = 784,674.95/1,006.83
  6. Step 6: Final answer
    x = 779.35

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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.