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Finding the Fourth Proportional to 1,248.32, 1,867.84 and 783.93

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Solution

The fourth proportional to 1,248.32, 1,867.84 and 783.93 is: 1,172.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,248.32 : 1,867.84 = 783.93 : x
  2. Step 2: Convert to fraction form
    1,248.32/1,867.84 = 783.93/x
  3. Step 3: Cross multiply
    1,248.32x = 1,867.84 × 783.93
  4. Step 4: Simplify right side
    1,248.32x = 1,464,255.81
  5. Step 5: Solve for x
    x = 1,464,255.81/1,248.32
  6. Step 6: Final answer
    x = 1,172.98

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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.