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Finding the Fourth Proportional to 946.74, 1,306.56 and 592.89

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Solution

The fourth proportional to 946.74, 1,306.56 and 592.89 is: 818.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.74 : 1,306.56 = 592.89 : x
  2. Step 2: Convert to fraction form
    946.74/1,306.56 = 592.89/x
  3. Step 3: Cross multiply
    946.74x = 1,306.56 × 592.89
  4. Step 4: Simplify right side
    946.74x = 774,646.36
  5. Step 5: Solve for x
    x = 774,646.36/946.74
  6. Step 6: Final answer
    x = 818.23

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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.