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Finding the Fourth Proportional to 1,301.15, 1,951.04 and 643.05

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Solution

The fourth proportional to 1,301.15, 1,951.04 and 643.05 is: 964.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,301.15 : 1,951.04 = 643.05 : x
  2. Step 2: Convert to fraction form
    1,301.15/1,951.04 = 643.05/x
  3. Step 3: Cross multiply
    1,301.15x = 1,951.04 × 643.05
  4. Step 4: Simplify right side
    1,301.15x = 1,254,613.06
  5. Step 5: Solve for x
    x = 1,254,613.06/1,301.15
  6. Step 6: Final answer
    x = 964.24

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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.