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Finding the Fourth Proportional to 1,302.25, 1,953.70 and 390.25

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Solution

The fourth proportional to 1,302.25, 1,953.70 and 390.25 is: 585.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,302.25 : 1,953.70 = 390.25 : x
  2. Step 2: Convert to fraction form
    1,302.25/1,953.70 = 390.25/x
  3. Step 3: Cross multiply
    1,302.25x = 1,953.70 × 390.25
  4. Step 4: Simplify right side
    1,302.25x = 762,429.47
  5. Step 5: Solve for x
    x = 762,429.47/1,302.25
  6. Step 6: Final answer
    x = 585.47

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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.