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Finding the Fourth Proportional to 1,005.60, 1,508.40 and 356.16

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Solution

The fourth proportional to 1,005.60, 1,508.40 and 356.16 is: 534.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005.60 : 1,508.40 = 356.16 : x
  2. Step 2: Convert to fraction form
    1,005.60/1,508.40 = 356.16/x
  3. Step 3: Cross multiply
    1,005.60x = 1,508.40 × 356.16
  4. Step 4: Simplify right side
    1,005.60x = 537,231.74
  5. Step 5: Solve for x
    x = 537,231.74/1,005.60
  6. Step 6: Final answer
    x = 534.24

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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.