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Finding the Fourth Proportional to 925.07, 1,387.59 and 412.07

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Solution

The fourth proportional to 925.07, 1,387.59 and 412.07 is: 618.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.07 : 1,387.59 = 412.07 : x
  2. Step 2: Convert to fraction form
    925.07/1,387.59 = 412.07/x
  3. Step 3: Cross multiply
    925.07x = 1,387.59 × 412.07
  4. Step 4: Simplify right side
    925.07x = 571,784.21
  5. Step 5: Solve for x
    x = 571,784.21/925.07
  6. Step 6: Final answer
    x = 618.10

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1.5x scale

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.