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Finding the Fourth Proportional to 1,301.02, 1,951.70 and 479.14

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Solution

The fourth proportional to 1,301.02, 1,951.70 and 479.14 is: 718.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,301.02 : 1,951.70 = 479.14 : x
  2. Step 2: Convert to fraction form
    1,301.02/1,951.70 = 479.14/x
  3. Step 3: Cross multiply
    1,301.02x = 1,951.70 × 479.14
  4. Step 4: Simplify right side
    1,301.02x = 935,130.26
  5. Step 5: Solve for x
    x = 935,130.26/1,301.02
  6. Step 6: Final answer
    x = 718.77

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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.