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Finding the Fourth Proportional to 1,355.64, 1,870.58 and 831.58

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Solution

The fourth proportional to 1,355.64, 1,870.58 and 831.58 is: 1,147.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,355.64 : 1,870.58 = 831.58 : x
  2. Step 2: Convert to fraction form
    1,355.64/1,870.58 = 831.58/x
  3. Step 3: Cross multiply
    1,355.64x = 1,870.58 × 831.58
  4. Step 4: Simplify right side
    1,355.64x = 1,555,536.92
  5. Step 5: Solve for x
    x = 1,555,536.92/1,355.64
  6. Step 6: Final answer
    x = 1,147.46

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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.