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Finding the Fourth Proportional to 1,117.60, 1,677.22 and 570.25

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Solution

The fourth proportional to 1,117.60, 1,677.22 and 570.25 is: 855.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,117.60 : 1,677.22 = 570.25 : x
  2. Step 2: Convert to fraction form
    1,117.60/1,677.22 = 570.25/x
  3. Step 3: Cross multiply
    1,117.60x = 1,677.22 × 570.25
  4. Step 4: Simplify right side
    1,117.60x = 956,423.47
  5. Step 5: Solve for x
    x = 956,423.47/1,117.60
  6. Step 6: Final answer
    x = 855.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.