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Finding the Fourth Proportional to 1,051.46, 1,451.08 and 597.23

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Solution

The fourth proportional to 1,051.46, 1,451.08 and 597.23 is: 824.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,051.46 : 1,451.08 = 597.23 : x
  2. Step 2: Convert to fraction form
    1,051.46/1,451.08 = 597.23/x
  3. Step 3: Cross multiply
    1,051.46x = 1,451.08 × 597.23
  4. Step 4: Simplify right side
    1,051.46x = 866,630.64
  5. Step 5: Solve for x
    x = 866,630.64/1,051.46
  6. Step 6: Final answer
    x = 824.21

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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.