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Finding the Fourth Proportional to 1,530.52, 2,294.40 and 555.94

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Solution

The fourth proportional to 1,530.52, 2,294.40 and 555.94 is: 833.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,530.52 : 2,294.40 = 555.94 : x
  2. Step 2: Convert to fraction form
    1,530.52/2,294.40 = 555.94/x
  3. Step 3: Cross multiply
    1,530.52x = 2,294.40 × 555.94
  4. Step 4: Simplify right side
    1,530.52x = 1,275,543
  5. Step 5: Solve for x
    x = 1,275,543/1,530.52
  6. Step 6: Final answer
    x = 833.41

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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.