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Finding the Fourth Proportional to 877.98, 1,314.57 and 569.07

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Solution

The fourth proportional to 877.98, 1,314.57 and 569.07 is: 852.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.98 : 1,314.57 = 569.07 : x
  2. Step 2: Convert to fraction form
    877.98/1,314.57 = 569.07/x
  3. Step 3: Cross multiply
    877.98x = 1,314.57 × 569.07
  4. Step 4: Simplify right side
    877.98x = 748,082.35
  5. Step 5: Solve for x
    x = 748,082.35/877.98
  6. Step 6: Final answer
    x = 852.05

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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.