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Finding the Fourth Proportional to 924.60, 1,386.90 and 438.60

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Solution

The fourth proportional to 924.60, 1,386.90 and 438.60 is: 657.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.60 : 1,386.90 = 438.60 : x
  2. Step 2: Convert to fraction form
    924.60/1,386.90 = 438.60/x
  3. Step 3: Cross multiply
    924.60x = 1,386.90 × 438.60
  4. Step 4: Simplify right side
    924.60x = 608,294.34
  5. Step 5: Solve for x
    x = 608,294.34/924.60
  6. Step 6: Final answer
    x = 657.90

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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.