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Finding the Fourth Proportional to 924.99, 1,276.51 and 526.70

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Solution

The fourth proportional to 924.99, 1,276.51 and 526.70 is: 726.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.99 : 1,276.51 = 526.70 : x
  2. Step 2: Convert to fraction form
    924.99/1,276.51 = 526.70/x
  3. Step 3: Cross multiply
    924.99x = 1,276.51 × 526.70
  4. Step 4: Simplify right side
    924.99x = 672,340.68
  5. Step 5: Solve for x
    x = 672,340.68/924.99
  6. Step 6: Final answer
    x = 726.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.