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Finding the Fourth Proportional to 877.46, 1,314.99 and 569.13

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Solution

The fourth proportional to 877.46, 1,314.99 and 569.13 is: 852.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.46 : 1,314.99 = 569.13 : x
  2. Step 2: Convert to fraction form
    877.46/1,314.99 = 569.13/x
  3. Step 3: Cross multiply
    877.46x = 1,314.99 × 569.13
  4. Step 4: Simplify right side
    877.46x = 748,400.26
  5. Step 5: Solve for x
    x = 748,400.26/877.46
  6. Step 6: Final answer
    x = 852.92

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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.