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Finding the Fourth Proportional to 783.58, 1,174.08 and 372.64

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Solution

The fourth proportional to 783.58, 1,174.08 and 372.64 is: 558.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.58 : 1,174.08 = 372.64 : x
  2. Step 2: Convert to fraction form
    783.58/1,174.08 = 372.64/x
  3. Step 3: Cross multiply
    783.58x = 1,174.08 × 372.64
  4. Step 4: Simplify right side
    783.58x = 437,509.17
  5. Step 5: Solve for x
    x = 437,509.17/783.58
  6. Step 6: Final answer
    x = 558.35

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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.