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Finding the Fourth Proportional to 1,420.34, 1,959.26 and 830.76

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Solution

The fourth proportional to 1,420.34, 1,959.26 and 830.76 is: 1,145.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,420.34 : 1,959.26 = 830.76 : x
  2. Step 2: Convert to fraction form
    1,420.34/1,959.26 = 830.76/x
  3. Step 3: Cross multiply
    1,420.34x = 1,959.26 × 830.76
  4. Step 4: Simplify right side
    1,420.34x = 1,627,674.84
  5. Step 5: Solve for x
    x = 1,627,674.84/1,420.34
  6. Step 6: Final answer
    x = 1,145.98

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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.