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Finding the Fourth Proportional to 1,300.08, 1,950.24 and 974.40

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Solution

The fourth proportional to 1,300.08, 1,950.24 and 974.40 is: 1,461.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,300.08 : 1,950.24 = 974.40 : x
  2. Step 2: Convert to fraction form
    1,300.08/1,950.24 = 974.40/x
  3. Step 3: Cross multiply
    1,300.08x = 1,950.24 × 974.40
  4. Step 4: Simplify right side
    1,300.08x = 1,900,313.86
  5. Step 5: Solve for x
    x = 1,900,313.86/1,300.08
  6. Step 6: Final answer
    x = 1,461.69

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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.