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Finding the Fourth Proportional to 1,582.05, 2,373.03 and 542.76

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Solution

The fourth proportional to 1,582.05, 2,373.03 and 542.76 is: 814.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,582.05 : 2,373.03 = 542.76 : x
  2. Step 2: Convert to fraction form
    1,582.05/2,373.03 = 542.76/x
  3. Step 3: Cross multiply
    1,582.05x = 2,373.03 × 542.76
  4. Step 4: Simplify right side
    1,582.05x = 1,287,985.76
  5. Step 5: Solve for x
    x = 1,287,985.76/1,582.05
  6. Step 6: Final answer
    x = 814.12

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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.