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Finding the Fourth Proportional to 1,301.23, 1,950.63 and 479.28

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Solution

The fourth proportional to 1,301.23, 1,950.63 and 479.28 is: 718.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,301.23 : 1,950.63 = 479.28 : x
  2. Step 2: Convert to fraction form
    1,301.23/1,950.63 = 479.28/x
  3. Step 3: Cross multiply
    1,301.23x = 1,950.63 × 479.28
  4. Step 4: Simplify right side
    1,301.23x = 934,897.95
  5. Step 5: Solve for x
    x = 934,897.95/1,301.23
  6. Step 6: Final answer
    x = 718.47

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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.