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Finding the Fourth Proportional to 954.30, 1,428.54 and 583.14

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Solution

The fourth proportional to 954.30, 1,428.54 and 583.14 is: 872.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.30 : 1,428.54 = 583.14 : x
  2. Step 2: Convert to fraction form
    954.30/1,428.54 = 583.14/x
  3. Step 3: Cross multiply
    954.30x = 1,428.54 × 583.14
  4. Step 4: Simplify right side
    954.30x = 833,038.82
  5. Step 5: Solve for x
    x = 833,038.82/954.30
  6. Step 6: Final answer
    x = 872.93

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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.