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Finding the Fourth Proportional to 1,130.99, 1,696.04 and 454.58

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Solution

The fourth proportional to 1,130.99, 1,696.04 and 454.58 is: 681.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,130.99 : 1,696.04 = 454.58 : x
  2. Step 2: Convert to fraction form
    1,130.99/1,696.04 = 454.58/x
  3. Step 3: Cross multiply
    1,130.99x = 1,696.04 × 454.58
  4. Step 4: Simplify right side
    1,130.99x = 770,983.17
  5. Step 5: Solve for x
    x = 770,983.17/1,130.99
  6. Step 6: Final answer
    x = 681.69

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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.