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Finding the Fourth Proportional to 777.08, 1,166.02 and 503.10

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Solution

The fourth proportional to 777.08, 1,166.02 and 503.10 is: 754.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.08 : 1,166.02 = 503.10 : x
  2. Step 2: Convert to fraction form
    777.08/1,166.02 = 503.10/x
  3. Step 3: Cross multiply
    777.08x = 1,166.02 × 503.10
  4. Step 4: Simplify right side
    777.08x = 586,618.83
  5. Step 5: Solve for x
    x = 586,618.83/777.08
  6. Step 6: Final answer
    x = 754.91

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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.