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Finding the Fourth Proportional to 1,156.40, 1,733.40 and 577.52

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Solution

The fourth proportional to 1,156.40, 1,733.40 and 577.52 is: 865.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156.40 : 1,733.40 = 577.52 : x
  2. Step 2: Convert to fraction form
    1,156.40/1,733.40 = 577.52/x
  3. Step 3: Cross multiply
    1,156.40x = 1,733.40 × 577.52
  4. Step 4: Simplify right side
    1,156.40x = 1,001,073.17
  5. Step 5: Solve for x
    x = 1,001,073.17/1,156.40
  6. Step 6: Final answer
    x = 865.68

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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.