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Finding the Fourth Proportional to 1,391.16, 2,085.52 and 526.08

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Solution

The fourth proportional to 1,391.16, 2,085.52 and 526.08 is: 788.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,391.16 : 2,085.52 = 526.08 : x
  2. Step 2: Convert to fraction form
    1,391.16/2,085.52 = 526.08/x
  3. Step 3: Cross multiply
    1,391.16x = 2,085.52 × 526.08
  4. Step 4: Simplify right side
    1,391.16x = 1,097,150.36
  5. Step 5: Solve for x
    x = 1,097,150.36/1,391.16
  6. Step 6: Final answer
    x = 788.66

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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.