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Finding the Fourth Proportional to 1,011.58, 1,396.26 and 592.02

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Solution

The fourth proportional to 1,011.58, 1,396.26 and 592.02 is: 817.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,011.58 : 1,396.26 = 592.02 : x
  2. Step 2: Convert to fraction form
    1,011.58/1,396.26 = 592.02/x
  3. Step 3: Cross multiply
    1,011.58x = 1,396.26 × 592.02
  4. Step 4: Simplify right side
    1,011.58x = 826,613.85
  5. Step 5: Solve for x
    x = 826,613.85/1,011.58
  6. Step 6: Final answer
    x = 817.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.