Home / 1,420.34-2,128.95-688.28

Finding the Fourth Proportional to 1,420.34, 2,128.95 and 688.28

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Solution

The fourth proportional to 1,420.34, 2,128.95 and 688.28 is: 1,031.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,420.34 : 2,128.95 = 688.28 : x
  2. Step 2: Convert to fraction form
    1,420.34/2,128.95 = 688.28/x
  3. Step 3: Cross multiply
    1,420.34x = 2,128.95 × 688.28
  4. Step 4: Simplify right side
    1,420.34x = 1,465,303.06
  5. Step 5: Solve for x
    x = 1,465,303.06/1,420.34
  6. Step 6: Final answer
    x = 1,031.66

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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.