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Finding the Fourth Proportional to 731.83, 1,097.70 and 526.76

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Solution

The fourth proportional to 731.83, 1,097.70 and 526.76 is: 790.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.83 : 1,097.70 = 526.76 : x
  2. Step 2: Convert to fraction form
    731.83/1,097.70 = 526.76/x
  3. Step 3: Cross multiply
    731.83x = 1,097.70 × 526.76
  4. Step 4: Simplify right side
    731.83x = 578,224.45
  5. Step 5: Solve for x
    x = 578,224.45/731.83
  6. Step 6: Final answer
    x = 790.11

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