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Finding the Fourth Proportional to 1,312.64, 1,970.32 and 582.72

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Solution

The fourth proportional to 1,312.64, 1,970.32 and 582.72 is: 874.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312.64 : 1,970.32 = 582.72 : x
  2. Step 2: Convert to fraction form
    1,312.64/1,970.32 = 582.72/x
  3. Step 3: Cross multiply
    1,312.64x = 1,970.32 × 582.72
  4. Step 4: Simplify right side
    1,312.64x = 1,148,141.96
  5. Step 5: Solve for x
    x = 1,148,141.96/1,312.64
  6. Step 6: Final answer
    x = 874.68

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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.