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Finding the Fourth Proportional to 1,155.40, 1,733.22 and 424.97

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Solution

The fourth proportional to 1,155.40, 1,733.22 and 424.97 is: 637.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,155.40 : 1,733.22 = 424.97 : x
  2. Step 2: Convert to fraction form
    1,155.40/1,733.22 = 424.97/x
  3. Step 3: Cross multiply
    1,155.40x = 1,733.22 × 424.97
  4. Step 4: Simplify right side
    1,155.40x = 736,566.50
  5. Step 5: Solve for x
    x = 736,566.50/1,155.40
  6. Step 6: Final answer
    x = 637.50

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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.