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Finding the Fourth Proportional to 1,303.96, 1,956.66 and 524.02

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Solution

The fourth proportional to 1,303.96, 1,956.66 and 524.02 is: 786.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,303.96 : 1,956.66 = 524.02 : x
  2. Step 2: Convert to fraction form
    1,303.96/1,956.66 = 524.02/x
  3. Step 3: Cross multiply
    1,303.96x = 1,956.66 × 524.02
  4. Step 4: Simplify right side
    1,303.96x = 1,025,328.97
  5. Step 5: Solve for x
    x = 1,025,328.97/1,303.96
  6. Step 6: Final answer
    x = 786.32

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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.