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Finding the Fourth Proportional to 1,031.58, 1,420.53 and 853.23

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Solution

The fourth proportional to 1,031.58, 1,420.53 and 853.23 is: 1,174.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.58 : 1,420.53 = 853.23 : x
  2. Step 2: Convert to fraction form
    1,031.58/1,420.53 = 853.23/x
  3. Step 3: Cross multiply
    1,031.58x = 1,420.53 × 853.23
  4. Step 4: Simplify right side
    1,031.58x = 1,212,038.81
  5. Step 5: Solve for x
    x = 1,212,038.81/1,031.58
  6. Step 6: Final answer
    x = 1,174.93

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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.