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Finding the Fourth Proportional to 1,103.48, 1,652.70 and 526.76

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Solution

The fourth proportional to 1,103.48, 1,652.70 and 526.76 is: 788.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.48 : 1,652.70 = 526.76 : x
  2. Step 2: Convert to fraction form
    1,103.48/1,652.70 = 526.76/x
  3. Step 3: Cross multiply
    1,103.48x = 1,652.70 × 526.76
  4. Step 4: Simplify right side
    1,103.48x = 870,569.49
  5. Step 5: Solve for x
    x = 870,569.49/1,103.48
  6. Step 6: Final answer
    x = 788.93

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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.