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Finding the Fourth Proportional to 1,047.39, 1,569.75 and 430.39

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Solution

The fourth proportional to 1,047.39, 1,569.75 and 430.39 is: 645.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.39 : 1,569.75 = 430.39 : x
  2. Step 2: Convert to fraction form
    1,047.39/1,569.75 = 430.39/x
  3. Step 3: Cross multiply
    1,047.39x = 1,569.75 × 430.39
  4. Step 4: Simplify right side
    1,047.39x = 675,604.70
  5. Step 5: Solve for x
    x = 675,604.70/1,047.39
  6. Step 6: Final answer
    x = 645.04

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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.