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Finding the Fourth Proportional to 831.45, 1,146.30 and 569.01

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Solution

The fourth proportional to 831.45, 1,146.30 and 569.01 is: 784.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.45 : 1,146.30 = 569.01 : x
  2. Step 2: Convert to fraction form
    831.45/1,146.30 = 569.01/x
  3. Step 3: Cross multiply
    831.45x = 1,146.30 × 569.01
  4. Step 4: Simplify right side
    831.45x = 652,256.16
  5. Step 5: Solve for x
    x = 652,256.16/831.45
  6. Step 6: Final answer
    x = 784.48

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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.