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Finding the Fourth Proportional to 907.07, 1,360.73 and 420.23

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Solution

The fourth proportional to 907.07, 1,360.73 and 420.23 is: 630.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.07 : 1,360.73 = 420.23 : x
  2. Step 2: Convert to fraction form
    907.07/1,360.73 = 420.23/x
  3. Step 3: Cross multiply
    907.07x = 1,360.73 × 420.23
  4. Step 4: Simplify right side
    907.07x = 571,819.57
  5. Step 5: Solve for x
    x = 571,819.57/907.07
  6. Step 6: Final answer
    x = 630.40

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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.