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Finding the Fourth Proportional to 1,602.70, 2,404.05 and 507.40

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Solution

The fourth proportional to 1,602.70, 2,404.05 and 507.40 is: 761.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,602.70 : 2,404.05 = 507.40 : x
  2. Step 2: Convert to fraction form
    1,602.70/2,404.05 = 507.40/x
  3. Step 3: Cross multiply
    1,602.70x = 2,404.05 × 507.40
  4. Step 4: Simplify right side
    1,602.70x = 1,219,814.97
  5. Step 5: Solve for x
    x = 1,219,814.97/1,602.70
  6. Step 6: Final answer
    x = 761.10

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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.