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Finding the Fourth Proportional to 978.64, 1,465.08 and 653.20

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Solution

The fourth proportional to 978.64, 1,465.08 and 653.20 is: 977.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.64 : 1,465.08 = 653.20 : x
  2. Step 2: Convert to fraction form
    978.64/1,465.08 = 653.20/x
  3. Step 3: Cross multiply
    978.64x = 1,465.08 × 653.20
  4. Step 4: Simplify right side
    978.64x = 956,990.26
  5. Step 5: Solve for x
    x = 956,990.26/978.64
  6. Step 6: Final answer
    x = 977.88

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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.