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Finding the Fourth Proportional to 784.30, 1,176.76 and 373.62

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Solution

The fourth proportional to 784.30, 1,176.76 and 373.62 is: 560.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.30 : 1,176.76 = 373.62 : x
  2. Step 2: Convert to fraction form
    784.30/1,176.76 = 373.62/x
  3. Step 3: Cross multiply
    784.30x = 1,176.76 × 373.62
  4. Step 4: Simplify right side
    784.30x = 439,661.07
  5. Step 5: Solve for x
    x = 439,661.07/784.30
  6. Step 6: Final answer
    x = 560.58

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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.