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Finding the Fourth Proportional to 1,023.71, 1,412.71 and 581.65

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Solution

The fourth proportional to 1,023.71, 1,412.71 and 581.65 is: 802.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.71 : 1,412.71 = 581.65 : x
  2. Step 2: Convert to fraction form
    1,023.71/1,412.71 = 581.65/x
  3. Step 3: Cross multiply
    1,023.71x = 1,412.71 × 581.65
  4. Step 4: Simplify right side
    1,023.71x = 821,697.79
  5. Step 5: Solve for x
    x = 821,697.79/1,023.71
  6. Step 6: Final answer
    x = 802.67

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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.