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Finding the Fourth Proportional to 715.09, 987.13 and 435.42

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Solution

The fourth proportional to 715.09, 987.13 and 435.42 is: 601.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.09 : 987.13 = 435.42 : x
  2. Step 2: Convert to fraction form
    715.09/987.13 = 435.42/x
  3. Step 3: Cross multiply
    715.09x = 987.13 × 435.42
  4. Step 4: Simplify right side
    715.09x = 429,816.14
  5. Step 5: Solve for x
    x = 429,816.14/715.09
  6. Step 6: Final answer
    x = 601.07

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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.