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Finding the Fourth Proportional to 1,263.06, 1,894.71 and 430.71

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Solution

The fourth proportional to 1,263.06, 1,894.71 and 430.71 is: 646.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,263.06 : 1,894.71 = 430.71 : x
  2. Step 2: Convert to fraction form
    1,263.06/1,894.71 = 430.71/x
  3. Step 3: Cross multiply
    1,263.06x = 1,894.71 × 430.71
  4. Step 4: Simplify right side
    1,263.06x = 816,061.82
  5. Step 5: Solve for x
    x = 816,061.82/1,263.06
  6. Step 6: Final answer
    x = 646.10

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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.