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Finding the Fourth Proportional to 811.62, 1,119.93 and 457.45

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Solution

The fourth proportional to 811.62, 1,119.93 and 457.45 is: 631.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.62 : 1,119.93 = 457.45 : x
  2. Step 2: Convert to fraction form
    811.62/1,119.93 = 457.45/x
  3. Step 3: Cross multiply
    811.62x = 1,119.93 × 457.45
  4. Step 4: Simplify right side
    811.62x = 512,307.46
  5. Step 5: Solve for x
    x = 512,307.46/811.62
  6. Step 6: Final answer
    x = 631.22

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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.