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Finding the Fourth Proportional to 1,240.76, 1,859.56 and 509.47

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Solution

The fourth proportional to 1,240.76, 1,859.56 and 509.47 is: 763.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,240.76 : 1,859.56 = 509.47 : x
  2. Step 2: Convert to fraction form
    1,240.76/1,859.56 = 509.47/x
  3. Step 3: Cross multiply
    1,240.76x = 1,859.56 × 509.47
  4. Step 4: Simplify right side
    1,240.76x = 947,384.11
  5. Step 5: Solve for x
    x = 947,384.11/1,240.76
  6. Step 6: Final answer
    x = 763.55

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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.