Home / 1,031.64-1,423.76-589.60

Finding the Fourth Proportional to 1,031.64, 1,423.76 and 589.60

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Solution

The fourth proportional to 1,031.64, 1,423.76 and 589.60 is: 813.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.64 : 1,423.76 = 589.60 : x
  2. Step 2: Convert to fraction form
    1,031.64/1,423.76 = 589.60/x
  3. Step 3: Cross multiply
    1,031.64x = 1,423.76 × 589.60
  4. Step 4: Simplify right side
    1,031.64x = 839,448.90
  5. Step 5: Solve for x
    x = 839,448.90/1,031.64
  6. Step 6: Final answer
    x = 813.70

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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.