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Finding the Fourth Proportional to 749.99, 1,035 and 529.01

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Solution

The fourth proportional to 749.99, 1,035 and 529.01 is: 730.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.99 : 1,035 = 529.01 : x
  2. Step 2: Convert to fraction form
    749.99/1,035 = 529.01/x
  3. Step 3: Cross multiply
    749.99x = 1,035 × 529.01
  4. Step 4: Simplify right side
    749.99x = 547,527.94
  5. Step 5: Solve for x
    x = 547,527.94/749.99
  6. Step 6: Final answer
    x = 730.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.