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Finding the Fourth Proportional to 1,575.75, 2,174.54 and 877.13

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Solution

The fourth proportional to 1,575.75, 2,174.54 and 877.13 is: 1,210.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,575.75 : 2,174.54 = 877.13 : x
  2. Step 2: Convert to fraction form
    1,575.75/2,174.54 = 877.13/x
  3. Step 3: Cross multiply
    1,575.75x = 2,174.54 × 877.13
  4. Step 4: Simplify right side
    1,575.75x = 1,907,339.01
  5. Step 5: Solve for x
    x = 1,907,339.01/1,575.75
  6. Step 6: Final answer
    x = 1,210.43

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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.