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Finding the Fourth Proportional to 924.68, 1,386.12 and 709.16

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Solution

The fourth proportional to 924.68, 1,386.12 and 709.16 is: 1,063.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.68 : 1,386.12 = 709.16 : x
  2. Step 2: Convert to fraction form
    924.68/1,386.12 = 709.16/x
  3. Step 3: Cross multiply
    924.68x = 1,386.12 × 709.16
  4. Step 4: Simplify right side
    924.68x = 982,980.86
  5. Step 5: Solve for x
    x = 982,980.86/924.68
  6. Step 6: Final answer
    x = 1,063.05

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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.