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Finding the Fourth Proportional to 1,420.91, 2,128.28 and 688.95

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Solution

The fourth proportional to 1,420.91, 2,128.28 and 688.95 is: 1,031.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,420.91 : 2,128.28 = 688.95 : x
  2. Step 2: Convert to fraction form
    1,420.91/2,128.28 = 688.95/x
  3. Step 3: Cross multiply
    1,420.91x = 2,128.28 × 688.95
  4. Step 4: Simplify right side
    1,420.91x = 1,466,275.06
  5. Step 5: Solve for x
    x = 1,466,275.06/1,420.91
  6. Step 6: Final answer
    x = 1,031.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.