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Finding the Fourth Proportional to 1,133.34, 1,700.01 and 392.94

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Solution

The fourth proportional to 1,133.34, 1,700.01 and 392.94 is: 589.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,133.34 : 1,700.01 = 392.94 : x
  2. Step 2: Convert to fraction form
    1,133.34/1,700.01 = 392.94/x
  3. Step 3: Cross multiply
    1,133.34x = 1,700.01 × 392.94
  4. Step 4: Simplify right side
    1,133.34x = 668,001.93
  5. Step 5: Solve for x
    x = 668,001.93/1,133.34
  6. Step 6: Final answer
    x = 589.41

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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.