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Finding the Fourth Proportional to 1,298.36, 1,789.16 and 924.68

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Solution

The fourth proportional to 1,298.36, 1,789.16 and 924.68 is: 1,274.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298.36 : 1,789.16 = 924.68 : x
  2. Step 2: Convert to fraction form
    1,298.36/1,789.16 = 924.68/x
  3. Step 3: Cross multiply
    1,298.36x = 1,789.16 × 924.68
  4. Step 4: Simplify right side
    1,298.36x = 1,654,386.90
  5. Step 5: Solve for x
    x = 1,654,386.90/1,298.36
  6. Step 6: Final answer
    x = 1,274.22

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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.