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Finding the Fourth Proportional to 657.90, 907.83 and 526.86

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Solution

The fourth proportional to 657.90, 907.83 and 526.86 is: 727.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.90 : 907.83 = 526.86 : x
  2. Step 2: Convert to fraction form
    657.90/907.83 = 526.86/x
  3. Step 3: Cross multiply
    657.90x = 907.83 × 526.86
  4. Step 4: Simplify right side
    657.90x = 478,299.31
  5. Step 5: Solve for x
    x = 478,299.31/657.90
  6. Step 6: Final answer
    x = 727.01

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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.