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Finding the Fourth Proportional to 1,085.58, 1,498.23 and 619.74

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Solution

The fourth proportional to 1,085.58, 1,498.23 and 619.74 is: 855.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,085.58 : 1,498.23 = 619.74 : x
  2. Step 2: Convert to fraction form
    1,085.58/1,498.23 = 619.74/x
  3. Step 3: Cross multiply
    1,085.58x = 1,498.23 × 619.74
  4. Step 4: Simplify right side
    1,085.58x = 928,513.06
  5. Step 5: Solve for x
    x = 928,513.06/1,085.58
  6. Step 6: Final answer
    x = 855.32

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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.