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Finding the Fourth Proportional to 1,504.32, 2,257.47 and 530.42

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Solution

The fourth proportional to 1,504.32, 2,257.47 and 530.42 is: 795.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,504.32 : 2,257.47 = 530.42 : x
  2. Step 2: Convert to fraction form
    1,504.32/2,257.47 = 530.42/x
  3. Step 3: Cross multiply
    1,504.32x = 2,257.47 × 530.42
  4. Step 4: Simplify right side
    1,504.32x = 1,197,395.95
  5. Step 5: Solve for x
    x = 1,197,395.95/1,504.32
  6. Step 6: Final answer
    x = 795.97

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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.