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Finding the Fourth Proportional to 750.46, 1,035.25 and 501.70

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Solution

The fourth proportional to 750.46, 1,035.25 and 501.70 is: 692.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.46 : 1,035.25 = 501.70 : x
  2. Step 2: Convert to fraction form
    750.46/1,035.25 = 501.70/x
  3. Step 3: Cross multiply
    750.46x = 1,035.25 × 501.70
  4. Step 4: Simplify right side
    750.46x = 519,384.93
  5. Step 5: Solve for x
    x = 519,384.93/750.46
  6. Step 6: Final answer
    x = 692.09

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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.