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Finding the Fourth Proportional to 1,530.57, 2,294.44 and 556.45

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Solution

The fourth proportional to 1,530.57, 2,294.44 and 556.45 is: 834.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,530.57 : 2,294.44 = 556.45 : x
  2. Step 2: Convert to fraction form
    1,530.57/2,294.44 = 556.45/x
  3. Step 3: Cross multiply
    1,530.57x = 2,294.44 × 556.45
  4. Step 4: Simplify right side
    1,530.57x = 1,276,741.14
  5. Step 5: Solve for x
    x = 1,276,741.14/1,530.57
  6. Step 6: Final answer
    x = 834.16

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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.