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Finding the Fourth Proportional to 527.77, 786.49 and 510.36

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Solution

The fourth proportional to 527.77, 786.49 and 510.36 is: 760.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.77 : 786.49 = 510.36 : x
  2. Step 2: Convert to fraction form
    527.77/786.49 = 510.36/x
  3. Step 3: Cross multiply
    527.77x = 786.49 × 510.36
  4. Step 4: Simplify right side
    527.77x = 401,393.04
  5. Step 5: Solve for x
    x = 401,393.04/527.77
  6. Step 6: Final answer
    x = 760.55

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.