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Finding the Fourth Proportional to 1,283.34, 1,925.32 and 417.66

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Solution

The fourth proportional to 1,283.34, 1,925.32 and 417.66 is: 626.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,283.34 : 1,925.32 = 417.66 : x
  2. Step 2: Convert to fraction form
    1,283.34/1,925.32 = 417.66/x
  3. Step 3: Cross multiply
    1,283.34x = 1,925.32 × 417.66
  4. Step 4: Simplify right side
    1,283.34x = 804,121.67
  5. Step 5: Solve for x
    x = 804,121.67/1,283.34
  6. Step 6: Final answer
    x = 626.58

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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.