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Finding the Fourth Proportional to 674.55, 1,009.80 and 501.98

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Solution

The fourth proportional to 674.55, 1,009.80 and 501.98 is: 751.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.55 : 1,009.80 = 501.98 : x
  2. Step 2: Convert to fraction form
    674.55/1,009.80 = 501.98/x
  3. Step 3: Cross multiply
    674.55x = 1,009.80 × 501.98
  4. Step 4: Simplify right side
    674.55x = 506,894.36
  5. Step 5: Solve for x
    x = 506,894.36/674.55
  6. Step 6: Final answer
    x = 751.46

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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.