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Finding the Fourth Proportional to 1,302.99, 1,954.65 and 572.49

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Solution

The fourth proportional to 1,302.99, 1,954.65 and 572.49 is: 858.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,302.99 : 1,954.65 = 572.49 : x
  2. Step 2: Convert to fraction form
    1,302.99/1,954.65 = 572.49/x
  3. Step 3: Cross multiply
    1,302.99x = 1,954.65 × 572.49
  4. Step 4: Simplify right side
    1,302.99x = 1,119,017.58
  5. Step 5: Solve for x
    x = 1,119,017.58/1,302.99
  6. Step 6: Final answer
    x = 858.81

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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.