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Finding the Fourth Proportional to 855.63, 1,283.03 and 509.01

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Solution

The fourth proportional to 855.63, 1,283.03 and 509.01 is: 763.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.63 : 1,283.03 = 509.01 : x
  2. Step 2: Convert to fraction form
    855.63/1,283.03 = 509.01/x
  3. Step 3: Cross multiply
    855.63x = 1,283.03 × 509.01
  4. Step 4: Simplify right side
    855.63x = 653,075.10
  5. Step 5: Solve for x
    x = 653,075.10/855.63
  6. Step 6: Final answer
    x = 763.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.