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Finding the Fourth Proportional to 1,506.03, 2,259.56 and 465.99

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Solution

The fourth proportional to 1,506.03, 2,259.56 and 465.99 is: 699.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,506.03 : 2,259.56 = 465.99 : x
  2. Step 2: Convert to fraction form
    1,506.03/2,259.56 = 465.99/x
  3. Step 3: Cross multiply
    1,506.03x = 2,259.56 × 465.99
  4. Step 4: Simplify right side
    1,506.03x = 1,052,925.06
  5. Step 5: Solve for x
    x = 1,052,925.06/1,506.03
  6. Step 6: Final answer
    x = 699.14

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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.