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Finding the Fourth Proportional to 651.16, 899.40 and 526.96

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Solution

The fourth proportional to 651.16, 899.40 and 526.96 is: 727.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.16 : 899.40 = 526.96 : x
  2. Step 2: Convert to fraction form
    651.16/899.40 = 526.96/x
  3. Step 3: Cross multiply
    651.16x = 899.40 × 526.96
  4. Step 4: Simplify right side
    651.16x = 473,947.82
  5. Step 5: Solve for x
    x = 473,947.82/651.16
  6. Step 6: Final answer
    x = 727.85

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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.