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Finding the Fourth Proportional to 978.14, 1,465.16 and 458.58

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Solution

The fourth proportional to 978.14, 1,465.16 and 458.58 is: 686.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.14 : 1,465.16 = 458.58 : x
  2. Step 2: Convert to fraction form
    978.14/1,465.16 = 458.58/x
  3. Step 3: Cross multiply
    978.14x = 1,465.16 × 458.58
  4. Step 4: Simplify right side
    978.14x = 671,893.07
  5. Step 5: Solve for x
    x = 671,893.07/978.14
  6. Step 6: Final answer
    x = 686.91

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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.