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Finding the Fourth Proportional to 1,504.65, 2,258.01 and 530.76

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Solution

The fourth proportional to 1,504.65, 2,258.01 and 530.76 is: 796.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,504.65 : 2,258.01 = 530.76 : x
  2. Step 2: Convert to fraction form
    1,504.65/2,258.01 = 530.76/x
  3. Step 3: Cross multiply
    1,504.65x = 2,258.01 × 530.76
  4. Step 4: Simplify right side
    1,504.65x = 1,198,461.39
  5. Step 5: Solve for x
    x = 1,198,461.39/1,504.65
  6. Step 6: Final answer
    x = 796.51

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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.