Home / 1,109.60-1,665.48-928.16

Finding the Fourth Proportional to 1,109.60, 1,665.48 and 928.16

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Solution

The fourth proportional to 1,109.60, 1,665.48 and 928.16 is: 1,393.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.60 : 1,665.48 = 928.16 : x
  2. Step 2: Convert to fraction form
    1,109.60/1,665.48 = 928.16/x
  3. Step 3: Cross multiply
    1,109.60x = 1,665.48 × 928.16
  4. Step 4: Simplify right side
    1,109.60x = 1,545,831.92
  5. Step 5: Solve for x
    x = 1,545,831.92/1,109.60
  6. Step 6: Final answer
    x = 1,393.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.