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Finding the Fourth Proportional to 526.77, 785.00 and 509.36

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Solution

The fourth proportional to 526.77, 785.00 and 509.36 is: 759.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.77 : 785.00 = 509.36 : x
  2. Step 2: Convert to fraction form
    526.77/785.00 = 509.36/x
  3. Step 3: Cross multiply
    526.77x = 785.00 × 509.36
  4. Step 4: Simplify right side
    526.77x = 399,844.95
  5. Step 5: Solve for x
    x = 399,844.95/526.77
  6. Step 6: Final answer
    x = 759.05

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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.