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Finding the Fourth Proportional to 877.36, 1,210.34 and 523.08

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Solution

The fourth proportional to 877.36, 1,210.34 and 523.08 is: 721.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.36 : 1,210.34 = 523.08 : x
  2. Step 2: Convert to fraction form
    877.36/1,210.34 = 523.08/x
  3. Step 3: Cross multiply
    877.36x = 1,210.34 × 523.08
  4. Step 4: Simplify right side
    877.36x = 633,104.65
  5. Step 5: Solve for x
    x = 633,104.65/877.36
  6. Step 6: Final answer
    x = 721.60

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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.