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Finding the Fourth Proportional to 954.64, 1,317.36 and 562

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Solution

The fourth proportional to 954.64, 1,317.36 and 562 is: 775.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.64 : 1,317.36 = 562 : x
  2. Step 2: Convert to fraction form
    954.64/1,317.36 = 562/x
  3. Step 3: Cross multiply
    954.64x = 1,317.36 × 562
  4. Step 4: Simplify right side
    954.64x = 740,356.32
  5. Step 5: Solve for x
    x = 740,356.32/954.64
  6. Step 6: Final answer
    x = 775.53

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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.