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Finding the Fourth Proportional to 1,226.94, 1,691.64 and 1,030.02

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Solution

The fourth proportional to 1,226.94, 1,691.64 and 1,030.02 is: 1,420.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,226.94 : 1,691.64 = 1,030.02 : x
  2. Step 2: Convert to fraction form
    1,226.94/1,691.64 = 1,030.02/x
  3. Step 3: Cross multiply
    1,226.94x = 1,691.64 × 1,030.02
  4. Step 4: Simplify right side
    1,226.94x = 1,742,423.03
  5. Step 5: Solve for x
    x = 1,742,423.03/1,226.94
  6. Step 6: Final answer
    x = 1,420.14

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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.