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Finding the Fourth Proportional to 1,572.51, 2,357.24 and 585.09

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Solution

The fourth proportional to 1,572.51, 2,357.24 and 585.09 is: 877.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,572.51 : 2,357.24 = 585.09 : x
  2. Step 2: Convert to fraction form
    1,572.51/2,357.24 = 585.09/x
  3. Step 3: Cross multiply
    1,572.51x = 2,357.24 × 585.09
  4. Step 4: Simplify right side
    1,572.51x = 1,379,194.63
  5. Step 5: Solve for x
    x = 1,379,194.63/1,572.51
  6. Step 6: Final answer
    x = 877.06

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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.