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Finding the Fourth Proportional to 922.13, 1,382.40 and 435.53

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Solution

The fourth proportional to 922.13, 1,382.40 and 435.53 is: 652.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.13 : 1,382.40 = 435.53 : x
  2. Step 2: Convert to fraction form
    922.13/1,382.40 = 435.53/x
  3. Step 3: Cross multiply
    922.13x = 1,382.40 × 435.53
  4. Step 4: Simplify right side
    922.13x = 602,076.67
  5. Step 5: Solve for x
    x = 602,076.67/922.13
  6. Step 6: Final answer
    x = 652.92

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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.