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Finding the Fourth Proportional to 762.01, 1,051.58 and 412.70

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Solution

The fourth proportional to 762.01, 1,051.58 and 412.70 is: 569.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.01 : 1,051.58 = 412.70 : x
  2. Step 2: Convert to fraction form
    762.01/1,051.58 = 412.70/x
  3. Step 3: Cross multiply
    762.01x = 1,051.58 × 412.70
  4. Step 4: Simplify right side
    762.01x = 433,988.75
  5. Step 5: Solve for x
    x = 433,988.75/762.01
  6. Step 6: Final answer
    x = 569.53

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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.