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Finding the Fourth Proportional to 954.90, 1,317.57 and 561.84

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Solution

The fourth proportional to 954.90, 1,317.57 and 561.84 is: 775.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.90 : 1,317.57 = 561.84 : x
  2. Step 2: Convert to fraction form
    954.90/1,317.57 = 561.84/x
  3. Step 3: Cross multiply
    954.90x = 1,317.57 × 561.84
  4. Step 4: Simplify right side
    954.90x = 740,263.53
  5. Step 5: Solve for x
    x = 740,263.53/954.90
  6. Step 6: Final answer
    x = 775.23

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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.