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Finding the Fourth Proportional to 1,056.60, 1,585.80 and 509.04

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Solution

The fourth proportional to 1,056.60, 1,585.80 and 509.04 is: 763.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.60 : 1,585.80 = 509.04 : x
  2. Step 2: Convert to fraction form
    1,056.60/1,585.80 = 509.04/x
  3. Step 3: Cross multiply
    1,056.60x = 1,585.80 × 509.04
  4. Step 4: Simplify right side
    1,056.60x = 807,235.63
  5. Step 5: Solve for x
    x = 807,235.63/1,056.60
  6. Step 6: Final answer
    x = 763.99

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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.