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Finding the Fourth Proportional to 1,494.63, 2,242.59 and 570.47

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Solution

The fourth proportional to 1,494.63, 2,242.59 and 570.47 is: 855.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,494.63 : 2,242.59 = 570.47 : x
  2. Step 2: Convert to fraction form
    1,494.63/2,242.59 = 570.47/x
  3. Step 3: Cross multiply
    1,494.63x = 2,242.59 × 570.47
  4. Step 4: Simplify right side
    1,494.63x = 1,279,319.10
  5. Step 5: Solve for x
    x = 1,279,319.10/1,494.63
  6. Step 6: Final answer
    x = 855.94

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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.