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Finding the Fourth Proportional to 1,085.88, 1,498.59 and 613.74

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Solution

The fourth proportional to 1,085.88, 1,498.59 and 613.74 is: 847.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,085.88 : 1,498.59 = 613.74 : x
  2. Step 2: Convert to fraction form
    1,085.88/1,498.59 = 613.74/x
  3. Step 3: Cross multiply
    1,085.88x = 1,498.59 × 613.74
  4. Step 4: Simplify right side
    1,085.88x = 919,744.63
  5. Step 5: Solve for x
    x = 919,744.63/1,085.88
  6. Step 6: Final answer
    x = 847.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.