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Finding the Fourth Proportional to 762.84, 1,142.64 and 470.16

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Solution

The fourth proportional to 762.84, 1,142.64 and 470.16 is: 704.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.84 : 1,142.64 = 470.16 : x
  2. Step 2: Convert to fraction form
    762.84/1,142.64 = 470.16/x
  3. Step 3: Cross multiply
    762.84x = 1,142.64 × 470.16
  4. Step 4: Simplify right side
    762.84x = 537,223.62
  5. Step 5: Solve for x
    x = 537,223.62/762.84
  6. Step 6: Final answer
    x = 704.24

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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.