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Finding the Fourth Proportional to 1,031.95, 1,423.75 and 589.76

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Solution

The fourth proportional to 1,031.95, 1,423.75 and 589.76 is: 813.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.95 : 1,423.75 = 589.76 : x
  2. Step 2: Convert to fraction form
    1,031.95/1,423.75 = 589.76/x
  3. Step 3: Cross multiply
    1,031.95x = 1,423.75 × 589.76
  4. Step 4: Simplify right side
    1,031.95x = 839,670.80
  5. Step 5: Solve for x
    x = 839,670.80/1,031.95
  6. Step 6: Final answer
    x = 813.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.