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Finding the Fourth Proportional to 1,570.49, 2,356.65 and 584

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Solution

The fourth proportional to 1,570.49, 2,356.65 and 584 is: 876.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,570.49 : 2,356.65 = 584 : x
  2. Step 2: Convert to fraction form
    1,570.49/2,356.65 = 584/x
  3. Step 3: Cross multiply
    1,570.49x = 2,356.65 × 584
  4. Step 4: Simplify right side
    1,570.49x = 1,376,283.60
  5. Step 5: Solve for x
    x = 1,376,283.60/1,570.49
  6. Step 6: Final answer
    x = 876.34

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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.