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Finding the Fourth Proportional to 1,450.17, 2,174.04 and 585.09

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Solution

The fourth proportional to 1,450.17, 2,174.04 and 585.09 is: 877.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,450.17 : 2,174.04 = 585.09 : x
  2. Step 2: Convert to fraction form
    1,450.17/2,174.04 = 585.09/x
  3. Step 3: Cross multiply
    1,450.17x = 2,174.04 × 585.09
  4. Step 4: Simplify right side
    1,450.17x = 1,272,009.06
  5. Step 5: Solve for x
    x = 1,272,009.06/1,450.17
  6. Step 6: Final answer
    x = 877.14

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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.