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Finding the Fourth Proportional to 1,509.26, 2,259.50 and 882.63

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Solution

The fourth proportional to 1,509.26, 2,259.50 and 882.63 is: 1,321.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,509.26 : 2,259.50 = 882.63 : x
  2. Step 2: Convert to fraction form
    1,509.26/2,259.50 = 882.63/x
  3. Step 3: Cross multiply
    1,509.26x = 2,259.50 × 882.63
  4. Step 4: Simplify right side
    1,509.26x = 1,994,298.07
  5. Step 5: Solve for x
    x = 1,994,298.07/1,509.26
  6. Step 6: Final answer
    x = 1,321.38

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1.5x scale

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.