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Finding the Fourth Proportional to 596.71, 895.47 and 560.26

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Solution

The fourth proportional to 596.71, 895.47 and 560.26 is: 840.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.71 : 895.47 = 560.26 : x
  2. Step 2: Convert to fraction form
    596.71/895.47 = 560.26/x
  3. Step 3: Cross multiply
    596.71x = 895.47 × 560.26
  4. Step 4: Simplify right side
    596.71x = 501,696.02
  5. Step 5: Solve for x
    x = 501,696.02/596.71
  6. Step 6: Final answer
    x = 840.77

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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.