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Finding the Fourth Proportional to 1,509.80, 2,264.02 and 469.50

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Solution

The fourth proportional to 1,509.80, 2,264.02 and 469.50 is: 704.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,509.80 : 2,264.02 = 469.50 : x
  2. Step 2: Convert to fraction form
    1,509.80/2,264.02 = 469.50/x
  3. Step 3: Cross multiply
    1,509.80x = 2,264.02 × 469.50
  4. Step 4: Simplify right side
    1,509.80x = 1,062,957.39
  5. Step 5: Solve for x
    x = 1,062,957.39/1,509.80
  6. Step 6: Final answer
    x = 704.04

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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.