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Finding the Fourth Proportional to 697.41, 1,048.01 and 373.01

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Solution

The fourth proportional to 697.41, 1,048.01 and 373.01 is: 560.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.41 : 1,048.01 = 373.01 : x
  2. Step 2: Convert to fraction form
    697.41/1,048.01 = 373.01/x
  3. Step 3: Cross multiply
    697.41x = 1,048.01 × 373.01
  4. Step 4: Simplify right side
    697.41x = 390,911.11
  5. Step 5: Solve for x
    x = 390,911.11/697.41
  6. Step 6: Final answer
    x = 560.52

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Why These Related Problems?

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