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Finding the Fourth Proportional to 925.86, 1,389.12 and 405.57

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Solution

The fourth proportional to 925.86, 1,389.12 and 405.57 is: 608.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.86 : 1,389.12 = 405.57 : x
  2. Step 2: Convert to fraction form
    925.86/1,389.12 = 405.57/x
  3. Step 3: Cross multiply
    925.86x = 1,389.12 × 405.57
  4. Step 4: Simplify right side
    925.86x = 563,385.40
  5. Step 5: Solve for x
    x = 563,385.40/925.86
  6. Step 6: Final answer
    x = 608.50

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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.