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Finding the Fourth Proportional to 831.18, 1,146.87 and 569.10

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Solution

The fourth proportional to 831.18, 1,146.87 and 569.10 is: 785.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.18 : 1,146.87 = 569.10 : x
  2. Step 2: Convert to fraction form
    831.18/1,146.87 = 569.10/x
  3. Step 3: Cross multiply
    831.18x = 1,146.87 × 569.10
  4. Step 4: Simplify right side
    831.18x = 652,683.72
  5. Step 5: Solve for x
    x = 652,683.72/831.18
  6. Step 6: Final answer
    x = 785.25

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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.