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Finding the Fourth Proportional to 1,602.30, 2,403.80 and 506.76

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Solution

The fourth proportional to 1,602.30, 2,403.80 and 506.76 is: 760.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,602.30 : 2,403.80 = 506.76 : x
  2. Step 2: Convert to fraction form
    1,602.30/2,403.80 = 506.76/x
  3. Step 3: Cross multiply
    1,602.30x = 2,403.80 × 506.76
  4. Step 4: Simplify right side
    1,602.30x = 1,218,140.04
  5. Step 5: Solve for x
    x = 1,218,140.04/1,602.30
  6. Step 6: Final answer
    x = 760.24

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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.