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Finding the Fourth Proportional to 708.61, 1,061.02 and 570.91

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Solution

The fourth proportional to 708.61, 1,061.02 and 570.91 is: 854.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.61 : 1,061.02 = 570.91 : x
  2. Step 2: Convert to fraction form
    708.61/1,061.02 = 570.91/x
  3. Step 3: Cross multiply
    708.61x = 1,061.02 × 570.91
  4. Step 4: Simplify right side
    708.61x = 605,746.93
  5. Step 5: Solve for x
    x = 605,746.93/708.61
  6. Step 6: Final answer
    x = 854.84

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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.