Home / 1,164.02-1,746.47-702.13

Finding the Fourth Proportional to 1,164.02, 1,746.47 and 702.13

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Solution

The fourth proportional to 1,164.02, 1,746.47 and 702.13 is: 1,053.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.02 : 1,746.47 = 702.13 : x
  2. Step 2: Convert to fraction form
    1,164.02/1,746.47 = 702.13/x
  3. Step 3: Cross multiply
    1,164.02x = 1,746.47 × 702.13
  4. Step 4: Simplify right side
    1,164.02x = 1,226,248.98
  5. Step 5: Solve for x
    x = 1,226,248.98/1,164.02
  6. Step 6: Final answer
    x = 1,053.46

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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.