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Finding the Fourth Proportional to 783.90, 1,081.04 and 598

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Solution

The fourth proportional to 783.90, 1,081.04 and 598 is: 824.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.90 : 1,081.04 = 598 : x
  2. Step 2: Convert to fraction form
    783.90/1,081.04 = 598/x
  3. Step 3: Cross multiply
    783.90x = 1,081.04 × 598
  4. Step 4: Simplify right side
    783.90x = 646,461.92
  5. Step 5: Solve for x
    x = 646,461.92/783.90
  6. Step 6: Final answer
    x = 824.67

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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.