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Finding the Fourth Proportional to 1,036.76, 1,430.72 and 571

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Solution

The fourth proportional to 1,036.76, 1,430.72 and 571 is: 787.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036.76 : 1,430.72 = 571 : x
  2. Step 2: Convert to fraction form
    1,036.76/1,430.72 = 571/x
  3. Step 3: Cross multiply
    1,036.76x = 1,430.72 × 571
  4. Step 4: Simplify right side
    1,036.76x = 816,941.12
  5. Step 5: Solve for x
    x = 816,941.12/1,036.76
  6. Step 6: Final answer
    x = 787.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.