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Finding the Fourth Proportional to 1,298.29, 1,782.58 and 1,264.46

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Solution

The fourth proportional to 1,298.29, 1,782.58 and 1,264.46 is: 1,736.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298.29 : 1,782.58 = 1,264.46 : x
  2. Step 2: Convert to fraction form
    1,298.29/1,782.58 = 1,264.46/x
  3. Step 3: Cross multiply
    1,298.29x = 1,782.58 × 1,264.46
  4. Step 4: Simplify right side
    1,298.29x = 2,254,001.11
  5. Step 5: Solve for x
    x = 2,254,001.11/1,298.29
  6. Step 6: Final answer
    x = 1,736.13

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.