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Finding the Fourth Proportional to 1,056.24, 1,585.08 and 569.16

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Solution

The fourth proportional to 1,056.24, 1,585.08 and 569.16 is: 854.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.24 : 1,585.08 = 569.16 : x
  2. Step 2: Convert to fraction form
    1,056.24/1,585.08 = 569.16/x
  3. Step 3: Cross multiply
    1,056.24x = 1,585.08 × 569.16
  4. Step 4: Simplify right side
    1,056.24x = 902,164.13
  5. Step 5: Solve for x
    x = 902,164.13/1,056.24
  6. Step 6: Final answer
    x = 854.13

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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.