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Finding the Fourth Proportional to 1,124.02, 1,684.95 and 393.40

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Solution

The fourth proportional to 1,124.02, 1,684.95 and 393.40 is: 589.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,124.02 : 1,684.95 = 393.40 : x
  2. Step 2: Convert to fraction form
    1,124.02/1,684.95 = 393.40/x
  3. Step 3: Cross multiply
    1,124.02x = 1,684.95 × 393.40
  4. Step 4: Simplify right side
    1,124.02x = 662,859.33
  5. Step 5: Solve for x
    x = 662,859.33/1,124.02
  6. Step 6: Final answer
    x = 589.72

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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.