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Finding the Fourth Proportional to 1,303.52, 1,953.86 and 652.68

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Solution

The fourth proportional to 1,303.52, 1,953.86 and 652.68 is: 978.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,303.52 : 1,953.86 = 652.68 : x
  2. Step 2: Convert to fraction form
    1,303.52/1,953.86 = 652.68/x
  3. Step 3: Cross multiply
    1,303.52x = 1,953.86 × 652.68
  4. Step 4: Simplify right side
    1,303.52x = 1,275,242.08
  5. Step 5: Solve for x
    x = 1,275,242.08/1,303.52
  6. Step 6: Final answer
    x = 978.31

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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.