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Finding the Fourth Proportional to 956.48, 1,320.16 and 583.76

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Solution

The fourth proportional to 956.48, 1,320.16 and 583.76 is: 805.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    956.48 : 1,320.16 = 583.76 : x
  2. Step 2: Convert to fraction form
    956.48/1,320.16 = 583.76/x
  3. Step 3: Cross multiply
    956.48x = 1,320.16 × 583.76
  4. Step 4: Simplify right side
    956.48x = 770,656.60
  5. Step 5: Solve for x
    x = 770,656.60/956.48
  6. Step 6: Final answer
    x = 805.72

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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.