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Finding the Fourth Proportional to 954.78, 1,317.65 and 581.70

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Solution

The fourth proportional to 954.78, 1,317.65 and 581.70 is: 802.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.78 : 1,317.65 = 581.70 : x
  2. Step 2: Convert to fraction form
    954.78/1,317.65 = 581.70/x
  3. Step 3: Cross multiply
    954.78x = 1,317.65 × 581.70
  4. Step 4: Simplify right side
    954.78x = 766,477.01
  5. Step 5: Solve for x
    x = 766,477.01/954.78
  6. Step 6: Final answer
    x = 802.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.