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Finding the Fourth Proportional to 761.83, 1,052.10 and 575.01

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Solution

The fourth proportional to 761.83, 1,052.10 and 575.01 is: 794.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.83 : 1,052.10 = 575.01 : x
  2. Step 2: Convert to fraction form
    761.83/1,052.10 = 575.01/x
  3. Step 3: Cross multiply
    761.83x = 1,052.10 × 575.01
  4. Step 4: Simplify right side
    761.83x = 604,968.02
  5. Step 5: Solve for x
    x = 604,968.02/761.83
  6. Step 6: Final answer
    x = 794.10

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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.