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Finding the Fourth Proportional to 784.08, 1,174.70 and 437.00

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Solution

The fourth proportional to 784.08, 1,174.70 and 437.00 is: 654.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.08 : 1,174.70 = 437.00 : x
  2. Step 2: Convert to fraction form
    784.08/1,174.70 = 437.00/x
  3. Step 3: Cross multiply
    784.08x = 1,174.70 × 437.00
  4. Step 4: Simplify right side
    784.08x = 513,339.12
  5. Step 5: Solve for x
    x = 513,339.12/784.08
  6. Step 6: Final answer
    x = 654.70

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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.