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Finding the Fourth Proportional to 900.95, 1,242.29 and 734.65

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Solution

The fourth proportional to 900.95, 1,242.29 and 734.65 is: 1,012.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.95 : 1,242.29 = 734.65 : x
  2. Step 2: Convert to fraction form
    900.95/1,242.29 = 734.65/x
  3. Step 3: Cross multiply
    900.95x = 1,242.29 × 734.65
  4. Step 4: Simplify right side
    900.95x = 912,638.46
  5. Step 5: Solve for x
    x = 912,638.46/900.95
  6. Step 6: Final answer
    x = 1,012.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.