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Finding the Fourth Proportional to 657.51, 900.78 and 632.89

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Solution

The fourth proportional to 657.51, 900.78 and 632.89 is: 867.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.51 : 900.78 = 632.89 : x
  2. Step 2: Convert to fraction form
    657.51/900.78 = 632.89/x
  3. Step 3: Cross multiply
    657.51x = 900.78 × 632.89
  4. Step 4: Simplify right side
    657.51x = 570,094.65
  5. Step 5: Solve for x
    x = 570,094.65/657.51
  6. Step 6: Final answer
    x = 867.05

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.