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Finding the Fourth Proportional to 750.58, 1,035.28 and 582.96

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Solution

The fourth proportional to 750.58, 1,035.28 and 582.96 is: 804.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.58 : 1,035.28 = 582.96 : x
  2. Step 2: Convert to fraction form
    750.58/1,035.28 = 582.96/x
  3. Step 3: Cross multiply
    750.58x = 1,035.28 × 582.96
  4. Step 4: Simplify right side
    750.58x = 603,526.83
  5. Step 5: Solve for x
    x = 603,526.83/750.58
  6. Step 6: Final answer
    x = 804.08

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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.