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Finding the Fourth Proportional to 1,302.58, 1,953.93 and 378.10

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Solution

The fourth proportional to 1,302.58, 1,953.93 and 378.10 is: 567.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,302.58 : 1,953.93 = 378.10 : x
  2. Step 2: Convert to fraction form
    1,302.58/1,953.93 = 378.10/x
  3. Step 3: Cross multiply
    1,302.58x = 1,953.93 × 378.10
  4. Step 4: Simplify right side
    1,302.58x = 738,780.93
  5. Step 5: Solve for x
    x = 738,780.93/1,302.58
  6. Step 6: Final answer
    x = 567.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.