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Finding the Fourth Proportional to 946.47, 1,306.77 and 592.53

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Solution

The fourth proportional to 946.47, 1,306.77 and 592.53 is: 818.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.47 : 1,306.77 = 592.53 : x
  2. Step 2: Convert to fraction form
    946.47/1,306.77 = 592.53/x
  3. Step 3: Cross multiply
    946.47x = 1,306.77 × 592.53
  4. Step 4: Simplify right side
    946.47x = 774,300.43
  5. Step 5: Solve for x
    x = 774,300.43/946.47
  6. Step 6: Final answer
    x = 818.09

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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.