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Finding the Fourth Proportional to 605.90, 903.86 and 560

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Solution

The fourth proportional to 605.90, 903.86 and 560 is: 835.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.90 : 903.86 = 560 : x
  2. Step 2: Convert to fraction form
    605.90/903.86 = 560/x
  3. Step 3: Cross multiply
    605.90x = 903.86 × 560
  4. Step 4: Simplify right side
    605.90x = 506,161.60
  5. Step 5: Solve for x
    x = 506,161.60/605.90
  6. Step 6: Final answer
    x = 835.39

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.