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Finding the Fourth Proportional to 1,562.89, 2,343.55 and 466.96

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Solution

The fourth proportional to 1,562.89, 2,343.55 and 466.96 is: 700.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,562.89 : 2,343.55 = 466.96 : x
  2. Step 2: Convert to fraction form
    1,562.89/2,343.55 = 466.96/x
  3. Step 3: Cross multiply
    1,562.89x = 2,343.55 × 466.96
  4. Step 4: Simplify right side
    1,562.89x = 1,094,330.06
  5. Step 5: Solve for x
    x = 1,094,330.06/1,562.89
  6. Step 6: Final answer
    x = 700.20

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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.