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Finding the Fourth Proportional to 783.07, 1,174.16 and 372.20

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Solution

The fourth proportional to 783.07, 1,174.16 and 372.20 is: 558.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.07 : 1,174.16 = 372.20 : x
  2. Step 2: Convert to fraction form
    783.07/1,174.16 = 372.20/x
  3. Step 3: Cross multiply
    783.07x = 1,174.16 × 372.20
  4. Step 4: Simplify right side
    783.07x = 437,017.41
  5. Step 5: Solve for x
    x = 437,017.41/783.07
  6. Step 6: Final answer
    x = 558.08

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1.5x scale

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.