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Finding the Fourth Proportional to 1,283.57, 1,925.07 and 503.32

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Solution

The fourth proportional to 1,283.57, 1,925.07 and 503.32 is: 754.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,283.57 : 1,925.07 = 503.32 : x
  2. Step 2: Convert to fraction form
    1,283.57/1,925.07 = 503.32/x
  3. Step 3: Cross multiply
    1,283.57x = 1,925.07 × 503.32
  4. Step 4: Simplify right side
    1,283.57x = 968,919.53
  5. Step 5: Solve for x
    x = 968,919.53/1,283.57
  6. Step 6: Final answer
    x = 754.86

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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.