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Finding the Fourth Proportional to 946.86, 1,416.18 and 555.93

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Solution

The fourth proportional to 946.86, 1,416.18 and 555.93 is: 831.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.86 : 1,416.18 = 555.93 : x
  2. Step 2: Convert to fraction form
    946.86/1,416.18 = 555.93/x
  3. Step 3: Cross multiply
    946.86x = 1,416.18 × 555.93
  4. Step 4: Simplify right side
    946.86x = 787,296.95
  5. Step 5: Solve for x
    x = 787,296.95/946.86
  6. Step 6: Final answer
    x = 831.48

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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.