Home / 1,047.04-1,569.60-469.50

Finding the Fourth Proportional to 1,047.04, 1,569.60 and 469.50

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Solution

The fourth proportional to 1,047.04, 1,569.60 and 469.50 is: 703.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.04 : 1,569.60 = 469.50 : x
  2. Step 2: Convert to fraction form
    1,047.04/1,569.60 = 469.50/x
  3. Step 3: Cross multiply
    1,047.04x = 1,569.60 × 469.50
  4. Step 4: Simplify right side
    1,047.04x = 736,927.20
  5. Step 5: Solve for x
    x = 736,927.20/1,047.04
  6. Step 6: Final answer
    x = 703.82

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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.