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Finding the Fourth Proportional to 1,001.94, 1,501.03 and 589.85

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Solution

The fourth proportional to 1,001.94, 1,501.03 and 589.85 is: 883.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,001.94 : 1,501.03 = 589.85 : x
  2. Step 2: Convert to fraction form
    1,001.94/1,501.03 = 589.85/x
  3. Step 3: Cross multiply
    1,001.94x = 1,501.03 × 589.85
  4. Step 4: Simplify right side
    1,001.94x = 885,381.41
  5. Step 5: Solve for x
    x = 885,381.41/1,001.94
  6. Step 6: Final answer
    x = 883.67

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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.