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Finding the Fourth Proportional to 804.71, 1,109.93 and 510.17

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Solution

The fourth proportional to 804.71, 1,109.93 and 510.17 is: 703.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.71 : 1,109.93 = 510.17 : x
  2. Step 2: Convert to fraction form
    804.71/1,109.93 = 510.17/x
  3. Step 3: Cross multiply
    804.71x = 1,109.93 × 510.17
  4. Step 4: Simplify right side
    804.71x = 566,244.89
  5. Step 5: Solve for x
    x = 566,244.89/804.71
  6. Step 6: Final answer
    x = 703.67

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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.