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Finding the Fourth Proportional to 954.34, 1,431.08 and 377.08

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Solution

The fourth proportional to 954.34, 1,431.08 and 377.08 is: 565.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.34 : 1,431.08 = 377.08 : x
  2. Step 2: Convert to fraction form
    954.34/1,431.08 = 377.08/x
  3. Step 3: Cross multiply
    954.34x = 1,431.08 × 377.08
  4. Step 4: Simplify right side
    954.34x = 539,631.65
  5. Step 5: Solve for x
    x = 539,631.65/954.34
  6. Step 6: Final answer
    x = 565.45

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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.