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Finding the Fourth Proportional to 1,506.86, 2,259.57 and 882.33

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Solution

The fourth proportional to 1,506.86, 2,259.57 and 882.33 is: 1,323.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,506.86 : 2,259.57 = 882.33 : x
  2. Step 2: Convert to fraction form
    1,506.86/2,259.57 = 882.33/x
  3. Step 3: Cross multiply
    1,506.86x = 2,259.57 × 882.33
  4. Step 4: Simplify right side
    1,506.86x = 1,993,686.40
  5. Step 5: Solve for x
    x = 1,993,686.40/1,506.86
  6. Step 6: Final answer
    x = 1,323.07

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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.