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Finding the Fourth Proportional to 743.68, 1,113.65 and 570.14

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Solution

The fourth proportional to 743.68, 1,113.65 and 570.14 is: 853.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.68 : 1,113.65 = 570.14 : x
  2. Step 2: Convert to fraction form
    743.68/1,113.65 = 570.14/x
  3. Step 3: Cross multiply
    743.68x = 1,113.65 × 570.14
  4. Step 4: Simplify right side
    743.68x = 634,934.31
  5. Step 5: Solve for x
    x = 634,934.31/743.68
  6. Step 6: Final answer
    x = 853.77

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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.