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Finding the Fourth Proportional to 1,085.40, 1,496.84 and 691.74

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Solution

The fourth proportional to 1,085.40, 1,496.84 and 691.74 is: 953.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,085.40 : 1,496.84 = 691.74 : x
  2. Step 2: Convert to fraction form
    1,085.40/1,496.84 = 691.74/x
  3. Step 3: Cross multiply
    1,085.40x = 1,496.84 × 691.74
  4. Step 4: Simplify right side
    1,085.40x = 1,035,420.64
  5. Step 5: Solve for x
    x = 1,035,420.64/1,085.40
  6. Step 6: Final answer
    x = 953.95

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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.