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Finding the Fourth Proportional to 1,250.17, 1,875.32 and 325.76

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Solution

The fourth proportional to 1,250.17, 1,875.32 and 325.76 is: 488.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,250.17 : 1,875.32 = 325.76 : x
  2. Step 2: Convert to fraction form
    1,250.17/1,875.32 = 325.76/x
  3. Step 3: Cross multiply
    1,250.17x = 1,875.32 × 325.76
  4. Step 4: Simplify right side
    1,250.17x = 610,894.46
  5. Step 5: Solve for x
    x = 610,894.46/1,250.17
  6. Step 6: Final answer
    x = 488.65

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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.