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Finding the Fourth Proportional to 750.06, 1,125.10 and 506.77

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Solution

The fourth proportional to 750.06, 1,125.10 and 506.77 is: 760.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.06 : 1,125.10 = 506.77 : x
  2. Step 2: Convert to fraction form
    750.06/1,125.10 = 506.77/x
  3. Step 3: Cross multiply
    750.06x = 1,125.10 × 506.77
  4. Step 4: Simplify right side
    750.06x = 570,166.93
  5. Step 5: Solve for x
    x = 570,166.93/750.06
  6. Step 6: Final answer
    x = 760.16

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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.