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Finding the Fourth Proportional to 1,303.12, 1,954.47 and 572.56

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Solution

The fourth proportional to 1,303.12, 1,954.47 and 572.56 is: 858.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,303.12 : 1,954.47 = 572.56 : x
  2. Step 2: Convert to fraction form
    1,303.12/1,954.47 = 572.56/x
  3. Step 3: Cross multiply
    1,303.12x = 1,954.47 × 572.56
  4. Step 4: Simplify right side
    1,303.12x = 1,119,051.34
  5. Step 5: Solve for x
    x = 1,119,051.34/1,303.12
  6. Step 6: Final answer
    x = 858.75

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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.