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Finding the Fourth Proportional to 1,125.12, 1,688.72 and 577.68

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Solution

The fourth proportional to 1,125.12, 1,688.72 and 577.68 is: 867.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,125.12 : 1,688.72 = 577.68 : x
  2. Step 2: Convert to fraction form
    1,125.12/1,688.72 = 577.68/x
  3. Step 3: Cross multiply
    1,125.12x = 1,688.72 × 577.68
  4. Step 4: Simplify right side
    1,125.12x = 975,539.77
  5. Step 5: Solve for x
    x = 975,539.77/1,125.12
  6. Step 6: Final answer
    x = 867.05

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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.