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Finding the Fourth Proportional to 924.77, 1,276.20 and 526.50

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Solution

The fourth proportional to 924.77, 1,276.20 and 526.50 is: 726.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.77 : 1,276.20 = 526.50 : x
  2. Step 2: Convert to fraction form
    924.77/1,276.20 = 526.50/x
  3. Step 3: Cross multiply
    924.77x = 1,276.20 × 526.50
  4. Step 4: Simplify right side
    924.77x = 671,919.30
  5. Step 5: Solve for x
    x = 671,919.30/924.77
  6. Step 6: Final answer
    x = 726.58

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