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Finding the Fourth Proportional to 1,239.40, 1,859.01 and 417.61

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Solution

The fourth proportional to 1,239.40, 1,859.01 and 417.61 is: 626.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,239.40 : 1,859.01 = 417.61 : x
  2. Step 2: Convert to fraction form
    1,239.40/1,859.01 = 417.61/x
  3. Step 3: Cross multiply
    1,239.40x = 1,859.01 × 417.61
  4. Step 4: Simplify right side
    1,239.40x = 776,341.17
  5. Step 5: Solve for x
    x = 776,341.17/1,239.40
  6. Step 6: Final answer
    x = 626.38

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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.