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Finding the Fourth Proportional to 1,056.41, 1,585.07 and 568.89

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Solution

The fourth proportional to 1,056.41, 1,585.07 and 568.89 is: 853.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.41 : 1,585.07 = 568.89 : x
  2. Step 2: Convert to fraction form
    1,056.41/1,585.07 = 568.89/x
  3. Step 3: Cross multiply
    1,056.41x = 1,585.07 × 568.89
  4. Step 4: Simplify right side
    1,056.41x = 901,730.47
  5. Step 5: Solve for x
    x = 901,730.47/1,056.41
  6. Step 6: Final answer
    x = 853.58

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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.