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Finding the Fourth Proportional to 1,303.75, 1,955.63 and 524.09

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Solution

The fourth proportional to 1,303.75, 1,955.63 and 524.09 is: 786.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,303.75 : 1,955.63 = 524.09 : x
  2. Step 2: Convert to fraction form
    1,303.75/1,955.63 = 524.09/x
  3. Step 3: Cross multiply
    1,303.75x = 1,955.63 × 524.09
  4. Step 4: Simplify right side
    1,303.75x = 1,024,926.13
  5. Step 5: Solve for x
    x = 1,024,926.13/1,303.75
  6. Step 6: Final answer
    x = 786.14

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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.