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Finding the Fourth Proportional to 741.44, 1,113 and 525.20

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Solution

The fourth proportional to 741.44, 1,113 and 525.20 is: 788.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.44 : 1,113 = 525.20 : x
  2. Step 2: Convert to fraction form
    741.44/1,113 = 525.20/x
  3. Step 3: Cross multiply
    741.44x = 1,113 × 525.20
  4. Step 4: Simplify right side
    741.44x = 584,547.60
  5. Step 5: Solve for x
    x = 584,547.60/741.44
  6. Step 6: Final answer
    x = 788.40

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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.