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Finding the Fourth Proportional to 1,007.22, 1,389.95 and 565.13

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Solution

The fourth proportional to 1,007.22, 1,389.95 and 565.13 is: 779.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,007.22 : 1,389.95 = 565.13 : x
  2. Step 2: Convert to fraction form
    1,007.22/1,389.95 = 565.13/x
  3. Step 3: Cross multiply
    1,007.22x = 1,389.95 × 565.13
  4. Step 4: Simplify right side
    1,007.22x = 785,492.67
  5. Step 5: Solve for x
    x = 785,492.67/1,007.22
  6. Step 6: Final answer
    x = 779.86

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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.