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Finding the Fourth Proportional to 1,310.17, 1,810.23 and 1,030.99

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Solution

The fourth proportional to 1,310.17, 1,810.23 and 1,030.99 is: 1,424.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310.17 : 1,810.23 = 1,030.99 : x
  2. Step 2: Convert to fraction form
    1,310.17/1,810.23 = 1,030.99/x
  3. Step 3: Cross multiply
    1,310.17x = 1,810.23 × 1,030.99
  4. Step 4: Simplify right side
    1,310.17x = 1,866,329.03
  5. Step 5: Solve for x
    x = 1,866,329.03/1,310.17
  6. Step 6: Final answer
    x = 1,424.49

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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.