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Finding the Fourth Proportional to 944.95, 1,417.47 and 482.17

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Solution

The fourth proportional to 944.95, 1,417.47 and 482.17 is: 723.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.95 : 1,417.47 = 482.17 : x
  2. Step 2: Convert to fraction form
    944.95/1,417.47 = 482.17/x
  3. Step 3: Cross multiply
    944.95x = 1,417.47 × 482.17
  4. Step 4: Simplify right side
    944.95x = 683,461.51
  5. Step 5: Solve for x
    x = 683,461.51/944.95
  6. Step 6: Final answer
    x = 723.28

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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.