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Finding the Fourth Proportional to 1,292.34, 1,783.22 and 761.67

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Solution

The fourth proportional to 1,292.34, 1,783.22 and 761.67 is: 1,050.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,292.34 : 1,783.22 = 761.67 : x
  2. Step 2: Convert to fraction form
    1,292.34/1,783.22 = 761.67/x
  3. Step 3: Cross multiply
    1,292.34x = 1,783.22 × 761.67
  4. Step 4: Simplify right side
    1,292.34x = 1,358,229.95
  5. Step 5: Solve for x
    x = 1,358,229.95/1,292.34
  6. Step 6: Final answer
    x = 1,050.98

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1.5x scale

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.