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Finding the Fourth Proportional to 956.95, 1,320.60 and 564.01

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Solution

The fourth proportional to 956.95, 1,320.60 and 564.01 is: 778.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    956.95 : 1,320.60 = 564.01 : x
  2. Step 2: Convert to fraction form
    956.95/1,320.60 = 564.01/x
  3. Step 3: Cross multiply
    956.95x = 1,320.60 × 564.01
  4. Step 4: Simplify right side
    956.95x = 744,831.61
  5. Step 5: Solve for x
    x = 744,831.61/956.95
  6. Step 6: Final answer
    x = 778.34

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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.