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Finding the Fourth Proportional to 1,056.84, 1,585.68 and 569.76

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Solution

The fourth proportional to 1,056.84, 1,585.68 and 569.76 is: 854.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.84 : 1,585.68 = 569.76 : x
  2. Step 2: Convert to fraction form
    1,056.84/1,585.68 = 569.76/x
  3. Step 3: Cross multiply
    1,056.84x = 1,585.68 × 569.76
  4. Step 4: Simplify right side
    1,056.84x = 903,457.04
  5. Step 5: Solve for x
    x = 903,457.04/1,056.84
  6. Step 6: Final answer
    x = 854.87

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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.