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Finding the Fourth Proportional to 1,253.12, 1,877.12 and 569.60

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Solution

The fourth proportional to 1,253.12, 1,877.12 and 569.60 is: 853.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,253.12 : 1,877.12 = 569.60 : x
  2. Step 2: Convert to fraction form
    1,253.12/1,877.12 = 569.60/x
  3. Step 3: Cross multiply
    1,253.12x = 1,877.12 × 569.60
  4. Step 4: Simplify right side
    1,253.12x = 1,069,207.55
  5. Step 5: Solve for x
    x = 1,069,207.55/1,253.12
  6. Step 6: Final answer
    x = 853.24

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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.