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Finding the Fourth Proportional to 1,102.80, 1,653.12 and 526.08

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Solution

The fourth proportional to 1,102.80, 1,653.12 and 526.08 is: 788.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102.80 : 1,653.12 = 526.08 : x
  2. Step 2: Convert to fraction form
    1,102.80/1,653.12 = 526.08/x
  3. Step 3: Cross multiply
    1,102.80x = 1,653.12 × 526.08
  4. Step 4: Simplify right side
    1,102.80x = 869,673.37
  5. Step 5: Solve for x
    x = 869,673.37/1,102.80
  6. Step 6: Final answer
    x = 788.60

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Why These Related Problems?

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