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Finding the Fourth Proportional to 1,730.60, 2,596.00 and 497.98

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Solution

The fourth proportional to 1,730.60, 2,596.00 and 497.98 is: 747.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,730.60 : 2,596.00 = 497.98 : x
  2. Step 2: Convert to fraction form
    1,730.60/2,596.00 = 497.98/x
  3. Step 3: Cross multiply
    1,730.60x = 2,596.00 × 497.98
  4. Step 4: Simplify right side
    1,730.60x = 1,292,759.01
  5. Step 5: Solve for x
    x = 1,292,759.01/1,730.60
  6. Step 6: Final answer
    x = 747.00

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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.