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Finding the Fourth Proportional to 1,005.19, 1,507.60 and 457.24

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Solution

The fourth proportional to 1,005.19, 1,507.60 and 457.24 is: 685.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005.19 : 1,507.60 = 457.24 : x
  2. Step 2: Convert to fraction form
    1,005.19/1,507.60 = 457.24/x
  3. Step 3: Cross multiply
    1,005.19x = 1,507.60 × 457.24
  4. Step 4: Simplify right side
    1,005.19x = 689,335.02
  5. Step 5: Solve for x
    x = 689,335.02/1,005.19
  6. Step 6: Final answer
    x = 685.78

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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.