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Finding the Fourth Proportional to 1,535.76, 2,303.98 and 509.76

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Solution

The fourth proportional to 1,535.76, 2,303.98 and 509.76 is: 764.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,535.76 : 2,303.98 = 509.76 : x
  2. Step 2: Convert to fraction form
    1,535.76/2,303.98 = 509.76/x
  3. Step 3: Cross multiply
    1,535.76x = 2,303.98 × 509.76
  4. Step 4: Simplify right side
    1,535.76x = 1,174,476.84
  5. Step 5: Solve for x
    x = 1,174,476.84/1,535.76
  6. Step 6: Final answer
    x = 764.75

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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.