Home / 1,031.42-1,423.34-565.66

Finding the Fourth Proportional to 1,031.42, 1,423.34 and 565.66

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Solution

The fourth proportional to 1,031.42, 1,423.34 and 565.66 is: 780.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.42 : 1,423.34 = 565.66 : x
  2. Step 2: Convert to fraction form
    1,031.42/1,423.34 = 565.66/x
  3. Step 3: Cross multiply
    1,031.42x = 1,423.34 × 565.66
  4. Step 4: Simplify right side
    1,031.42x = 805,126.50
  5. Step 5: Solve for x
    x = 805,126.50/1,031.42
  6. Step 6: Final answer
    x = 780.60

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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.