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Finding the Fourth Proportional to 795.60, 1,193.76 and 471.24

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Solution

The fourth proportional to 795.60, 1,193.76 and 471.24 is: 707.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.60 : 1,193.76 = 471.24 : x
  2. Step 2: Convert to fraction form
    795.60/1,193.76 = 471.24/x
  3. Step 3: Cross multiply
    795.60x = 1,193.76 × 471.24
  4. Step 4: Simplify right side
    795.60x = 562,547.46
  5. Step 5: Solve for x
    x = 562,547.46/795.60
  6. Step 6: Final answer
    x = 707.07

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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.